diff --git a/Lib/test/test_zipimport.py b/Lib/test/test_zipimport.py
index dce3e1d9d38e7a..7b25b85cdd0a14 100644
--- a/Lib/test/test_zipimport.py
+++ b/Lib/test/test_zipimport.py
@@ -307,7 +307,7 @@ def test2038MTime(self):
         twenty_thirty_eight_pyc = make_pyc(test_co, 2**32 - 1, len(test_src))
         files = {TESTMOD + ".py": test_src,
                  TESTMOD + pyc_ext: twenty_thirty_eight_pyc}
-        self.doTest(".py", files, TESTMOD)
+        self.doTest(".pyc", files, TESTMOD)
 
     def testPackage(self):
         packdir = TESTPACK + os.sep
diff --git a/Lib/zipimport.py b/Lib/zipimport.py
index 19279d1c2bea36..6b683d0be6a2bd 100644
--- a/Lib/zipimport.py
+++ b/Lib/zipimport.py
@@ -749,15 +749,27 @@ def _compile_source(pathname, source, module):
 # Convert the date/time values found in the Zip archive to a value
 # that's compatible with the time stamp stored in .pyc files.
 def _parse_dostime(d, t):
-    return time.mktime((
-        (d >> 9) + 1980,    # bits 9..15: year
-        (d >> 5) & 0xF,     # bits 5..8: month
-        d & 0x1F,           # bits 0..4: day
-        t >> 11,            # bits 11..15: hours
-        (t >> 5) & 0x3F,    # bits 8..10: minutes
-        (t & 0x1F) * 2,     # bits 0..7: seconds / 2
-        -1, -1, -1))
-
+    year=((d >> 9) & 0x7F)+ 1980,    # bits 9..15: year
+    month=(d >> 5) & 0xF,     # bits 5..8: month
+    day=d & 0x1F,           # bits 0..4: day
+    hour=(t >> 11) & 0x1F,            # bits 11..15: hours
+    minute=(t >> 5) & 0x3F,    # bits 8..10: minutes
+    second=(t & 0x1F) * 2     # bits 0..7: seconds / 2
+    if month <= 2:
+        year -= 1
+        month += 12
+
+    days = (
+        365 * year
+        + year // 4
+        - year // 100
+        + year // 400
+        + (153 * (month - 3) + 2) // 5
+        + day
+        - 719469
+    )
+
+    return days * 86400 + hour * 3600 + minute * 60 + second
 # Given a path to a .pyc file in the archive, return the
 # modification time of the matching .py file and its size,
 # or (0, 0) if no source is available.