diff --git a/bitsandbytes/_ops.py b/bitsandbytes/_ops.py
index 532fe7afa..87e7c0485 100644
--- a/bitsandbytes/_ops.py
+++ b/bitsandbytes/_ops.py
@@ -183,7 +183,7 @@ def _(
     shape: Sequence[int],
     dtype: torch.dtype,
 ) -> torch.Tensor:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
     return torch.empty(shape, dtype=dtype, device=A.device)
 
 
@@ -203,7 +203,7 @@ def _(
     dtype: torch.dtype,
     out: torch.Tensor,
 ) -> None:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
     torch._check(out.shape == shape, lambda: f"Expected out.shape == {shape}, got {out.shape}")
     torch._check(out.device == A.device, lambda: f"Expected out.device == {A.device}, got {out.device}")
     torch._check(out.dtype == dtype, lambda: f"Expected out.dtype == {dtype}, got {out.dtype}")
@@ -219,7 +219,7 @@ def _(
 def _(
     A: torch.Tensor, blocksize: int, quant_type: str, quant_storage: torch.dtype
 ) -> tuple[torch.Tensor, torch.Tensor]:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
 
     n = A.numel()
     blocks = -(n // -blocksize)
@@ -236,7 +236,7 @@ def _(
 
 @register_fake("bitsandbytes::dequantize_blockwise")
 def _(A: torch.Tensor, absmax: torch.Tensor, code: torch.Tensor, blocksize: int, dtype: torch.dtype) -> torch.Tensor:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
     torch._check(A.dtype == torch.uint8, lambda: f"A must be uint8, got {A.dtype}")
     return torch.empty_like(A, dtype=dtype)
 
@@ -251,7 +251,7 @@ def _(A: torch.Tensor, absmax: torch.Tensor, code: torch.Tensor, blocksize: int,
 def _(
     A: torch.Tensor, absmax: torch.Tensor, code: torch.Tensor, blocksize: int, dtype: torch.dtype, out: torch.Tensor
 ):
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
     torch._check(A.dtype == torch.uint8, lambda: f"A must be uint8, got {A.dtype}")
     torch._check(out.shape == A.shape, lambda: f"Expected out.shape == {A.shape}, got {out.shape}")
     torch._check(out.device == A.device, lambda: f"Expected out.device == {A.device}, got {out.device}")
@@ -263,7 +263,7 @@ def _(
 
 @register_fake("bitsandbytes::quantize_blockwise")
 def _(A: torch.Tensor, code: torch.Tensor, blocksize: int) -> tuple[torch.Tensor, torch.Tensor]:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
     n = A.numel()
     blocks = -(n // -blocksize)
     absmax = torch.empty((blocks,), device=A.device, dtype=torch.float32)
@@ -281,7 +281,7 @@ def _(A: torch.Tensor, code: torch.Tensor, blocksize: int) -> tuple[torch.Tensor
 def _(
     A: torch.Tensor, B: torch.Tensor, shapeB: Sequence[int], absmax: torch.Tensor, code: torch.Tensor, blocksize: int
 ) -> torch.Tensor:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
     torch._check(A.numel() == A.size(-1), lambda: f"A must be a vector with leading dimensions of 1, got {A.shape}")
     torch._check(
         A.dtype in [torch.float16, torch.bfloat16, torch.float32],
@@ -311,7 +311,7 @@ def _(
     blocksize: int,
     out: torch.Tensor,
 ) -> None:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
     torch._check(A.numel() == A.size(-1), lambda: f"A must be a vector with leading dimensions of 1, got {A.shape}")
     torch._check(
         A.dtype in [torch.float16, torch.bfloat16, torch.float32],
diff --git a/bitsandbytes/backends/cpu/ops.py b/bitsandbytes/backends/cpu/ops.py
index 6c93a3cd0..6b82c2421 100755
--- a/bitsandbytes/backends/cpu/ops.py
+++ b/bitsandbytes/backends/cpu/ops.py
@@ -35,7 +35,7 @@ def _(A: torch.Tensor, B: torch.Tensor):
 
     @register_kernel("bitsandbytes::quantize_blockwise", "cpu")
     def _(A: torch.Tensor, code: torch.Tensor, blocksize: int) -> tuple[torch.Tensor, torch.Tensor]:
-        torch._check_is_size(blocksize)
+        torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
 
         n = A.numel()
         blocks = -(n // -blocksize)
@@ -94,7 +94,7 @@ def _(A: torch.Tensor, code: torch.Tensor, blocksize: int) -> tuple[torch.Tensor
     def _(
         A: torch.Tensor, absmax: torch.Tensor, code: torch.Tensor, blocksize: int, dtype: torch.dtype
     ) -> torch.Tensor:
-        torch._check_is_size(blocksize)
+        torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
         torch._check(A.dtype == torch.uint8, lambda: f"A must be uint8, got {A.dtype}")
 
         out = torch.empty_like(A, dtype=dtype)
@@ -146,7 +146,7 @@ def _(
         shape: Sequence[int],
         dtype: torch.dtype,
     ) -> torch.Tensor:
-        torch._check_is_size(blocksize)
+        torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
         torch._check(quant_type in ("nf4", "fp4"), lambda: f"quant_type must be nf4 or fp4, got {quant_type}")
         torch._check(
             dtype in [torch.bfloat16, torch.float16, torch.float32],
diff --git a/bitsandbytes/backends/cuda/ops.py b/bitsandbytes/backends/cuda/ops.py
index 4e9d1222a..409e0252d 100644
--- a/bitsandbytes/backends/cuda/ops.py
+++ b/bitsandbytes/backends/cuda/ops.py
@@ -221,7 +221,7 @@ def _get_col_absmax(
 @register_kernel("bitsandbytes::quantize_blockwise", "cuda")
 def _(A: torch.Tensor, code: torch.Tensor, blocksize: int) -> tuple[torch.Tensor, torch.Tensor]:
     A = A.contiguous()
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
 
     torch._check(blocksize in [4096, 2048, 1024, 512, 256, 128, 64, 32])
 
@@ -464,7 +464,7 @@ def _gemv_4bit_impl(
     blocksize: int,
     out: torch.Tensor,
 ) -> None:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
 
     # Note: these checks are not strictly necessary, and cost more than they are worth, so they are commented out for now.
     # torch._check(
diff --git a/bitsandbytes/backends/default/ops.py b/bitsandbytes/backends/default/ops.py
index 74eeb5502..6f5eecdf2 100644
--- a/bitsandbytes/backends/default/ops.py
+++ b/bitsandbytes/backends/default/ops.py
@@ -175,7 +175,7 @@ def _(A: torch.Tensor, threshold=0.0):
 
 @register_kernel("bitsandbytes::quantize_blockwise", "default")
 def _(A: torch.Tensor, code: torch.Tensor, blocksize: int) -> tuple[torch.Tensor, torch.Tensor]:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
 
     n = A.numel()
     rem = n % blocksize
@@ -201,7 +201,7 @@ def _(A: torch.Tensor, code: torch.Tensor, blocksize: int) -> tuple[torch.Tensor
 
 @register_kernel("bitsandbytes::dequantize_blockwise", "default")
 def _(A: torch.Tensor, absmax: torch.Tensor, code: torch.Tensor, blocksize: int, dtype: torch.dtype) -> torch.Tensor:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
     torch._check(A.dtype == torch.uint8, lambda: f"A must be uint8, got {A.dtype}")
 
     out = code[A.reshape(-1).int()]
@@ -220,7 +220,7 @@ def _(A: torch.Tensor, absmax: torch.Tensor, code: torch.Tensor, blocksize: int,
 def _(
     A: torch.Tensor, blocksize: int, quant_type: str, quant_storage: torch.dtype
 ) -> tuple[torch.Tensor, torch.Tensor]:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
     torch._check(quant_type in ("nf4", "fp4"), lambda: f"quant_type must be nf4 or fp4, got {quant_type}")
     torch._check(
         A.dtype in [torch.bfloat16, torch.float16, torch.float32],
@@ -317,7 +317,7 @@ def _(
     shape: Sequence[int],
     dtype: torch.dtype,
 ) -> torch.Tensor:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
     torch._check(quant_type in ("nf4", "fp4"), lambda: f"quant_type must be nf4 or fp4, got {quant_type}")
     torch._check(
         dtype in [torch.bfloat16, torch.float16, torch.float32],
diff --git a/bitsandbytes/backends/hpu/ops.py b/bitsandbytes/backends/hpu/ops.py
index 9ecd63e0b..2844df731 100644
--- a/bitsandbytes/backends/hpu/ops.py
+++ b/bitsandbytes/backends/hpu/ops.py
@@ -25,7 +25,7 @@ def _(
     shape: Sequence[int],
     dtype: torch.dtype,
 ) -> torch.Tensor:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
     torch._check(quant_type == "nf4", lambda: f"quant_type must be nf4, got {quant_type}")
     torch._check(
         A.dtype in [torch.bfloat16, torch.uint8],
diff --git a/bitsandbytes/backends/triton/ops.py b/bitsandbytes/backends/triton/ops.py
index 686d42929..6b1a2904b 100644
--- a/bitsandbytes/backends/triton/ops.py
+++ b/bitsandbytes/backends/triton/ops.py
@@ -15,7 +15,7 @@
 
 
 def quantize_blockwise(A: torch.Tensor, code: torch.Tensor, blocksize: int) -> tuple[torch.Tensor, torch.Tensor]:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
     # torch._check(A.dtype == torch.float32, lambda: f"A must be float32 on xpu, got {A.dtype}")
     with torch_accelerator_module.device(A.device):
         out, absmax = kernels_8bit_quant.quantize_blockwise_triton(A.contiguous(), code, blocksize)
@@ -25,7 +25,7 @@ def quantize_blockwise(A: torch.Tensor, code: torch.Tensor, blocksize: int) -> t
 def dequantize_blockwise(
     A: torch.Tensor, absmax: torch.Tensor, code: torch.Tensor, blocksize: int, dtype: torch.dtype
 ) -> torch.Tensor:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
     torch._check(A.dtype == torch.uint8, lambda: f"A must be uint8, got {A.dtype}")
     # torch._check(dtype == torch.float32, lambda: f"dtype must be float32 on xpu, got {dtype}")
     with torch_accelerator_module.device(A.device):
@@ -47,7 +47,7 @@ def dequantize_blockwise_inplace(
     dtype: torch.dtype,
     out: torch.Tensor,
 ) -> None:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
     torch._check(A.dtype == torch.uint8, lambda: f"A must be uint8, got {A.dtype}")
     torch._check(out.shape == A.shape, lambda: f"Expected out.shape == {A.shape}, got {out.shape}")
     torch._check(out.device == A.device, lambda: f"Expected out.device == {A.device}, got {out.device}")
@@ -67,7 +67,7 @@ def dequantize_blockwise_inplace(
 def quantize_4bit(
     A: torch.Tensor, blocksize: int, quant_type: str, quant_storage: torch.dtype
 ) -> tuple[torch.Tensor, torch.Tensor]:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
     # torch._check(quant_type == "nf4", lambda: f"quant_type must be nf4 on CPU, got {quant_type}")
     torch._check(
         A.dtype in [torch.bfloat16, torch.float16, torch.float32],
@@ -109,7 +109,7 @@ def dequantize_4bit(
     shape: Sequence[int],
     dtype: torch.dtype,
 ) -> torch.Tensor:
-    torch._check_is_size(blocksize)
+    torch._check(blocksize >= 0, lambda: f"Blocksize must be non-negative, got {blocksize}")
     # torch._check(quant_type == "nf4", lambda: f"quant_type must be nf4 on XPU, got {quant_type}")
     torch._check(
         dtype in [torch.bfloat16, torch.float16, torch.float32],