diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index c08b8f8a..49678a44 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -30,4 +30,4 @@ repos:
       hooks:
       -   id: mypy
           args: [--config-file, pyproject.toml]
-          additional_dependencies: [numpy, pytest, crc32c, zfpy, 'zarr>=3']
+          additional_dependencies: [numpy, pytest, google-crc32c, crc32c, zfpy, 'zarr>=3']
diff --git a/numcodecs/checksum32.py b/numcodecs/checksum32.py
index b7d5bf0b..9ecf212e 100644
--- a/numcodecs/checksum32.py
+++ b/numcodecs/checksum32.py
@@ -14,7 +14,7 @@
 
 _crc32c: ModuleType | None = None
 with suppress(ImportError):
-    import crc32c as _crc32c  # type: ignore[no-redef, unused-ignore]
+    import google_crc32c as _crc32c  # type: ignore[no-redef, unused-ignore]
 
 CHECKSUM_LOCATION = Literal['start', 'end']
 
@@ -179,5 +179,11 @@ class CRC32C(Checksum32):
         """
 
         codec_id = 'crc32c'
-        checksum = _crc32c.crc32c  # type: ignore[union-attr]
         location = 'end'
+
+        @staticmethod
+        def checksum(data: Buffer, value: int = 0) -> int:
+            if value == 0:
+                return _crc32c.value(data)  # type: ignore[union-attr]
+            else:
+                return _crc32c.extend(value, data)  # type: ignore[union-attr]
diff --git a/numcodecs/tests/test_checksum32.py b/numcodecs/tests/test_checksum32.py
index 9bdc25cb..b2d91cf0 100644
--- a/numcodecs/tests/test_checksum32.py
+++ b/numcodecs/tests/test_checksum32.py
@@ -145,6 +145,25 @@ def test_crc32c_checksum():
     assert np.frombuffer(buf, dtype="<u4", offset=(len(buf) - 4))[0] == np.uint32(4218238699)
 
 
+@pytest.mark.skipif(not has_crc32c, reason="Needs `crc32c` installed")
+def test_crc32c_incremental():
+    """Test that CRC32C.checksum supports incremental calculation via value parameter."""
+    # Test incremental checksum calculation (for API compatibility)
+    data1 = np.frombuffer(b"hello", dtype='uint8')
+    data2 = np.frombuffer(b" world", dtype='uint8')
+    full_data = np.frombuffer(b"hello world", dtype='uint8')
+
+    # Calculate checksum in one go
+    checksum_full = CRC32C.checksum(full_data)
+
+    # Calculate incrementally using the value parameter
+    checksum_part1 = CRC32C.checksum(data1, 0)
+    checksum_part2 = CRC32C.checksum(data2, checksum_part1)
+
+    # Both methods should produce the same result
+    assert checksum_full == checksum_part2
+
+
 @pytest.mark.parametrize("codec", codecs)
 def test_err_checksum(codec):
     arr = np.arange(0, 64, dtype="uint8")
diff --git a/pyproject.toml b/pyproject.toml
index c925cd17..601d3f3c 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -61,6 +61,7 @@ test = [
 ]
 test_extras = [
     "importlib_metadata",
+    "crc32c",  # TODO: remove once zarr-python does not depend on crc32c anymore
 ]
 msgpack = [
     "msgpack",
@@ -72,7 +73,7 @@ pcodec = [
     "pcodec>=0.3,<0.4",
 ]
 crc32c = [
-    "crc32c>=2.7",
+    "google-crc32c>=1.5",
 ]
 
 [project.entry-points."zarr.codecs"]