diff --git a/sentry_sdk/integrations/__init__.py b/sentry_sdk/integrations/__init__.py
index 677d34a81e..cfd94b80cb 100644
--- a/sentry_sdk/integrations/__init__.py
+++ b/sentry_sdk/integrations/__init__.py
@@ -1,4 +1,5 @@
 from abc import ABC, abstractmethod
+from itertools import zip_longest
 from threading import Lock
 from typing import TYPE_CHECKING
 
@@ -299,10 +300,17 @@ def _check_minimum_version(
     if min_version is None:
         return
 
-    if version < min_version:
-        raise DidNotEnable(
-            f"Integration only supports {package} {'.'.join(map(str, min_version))} or newer."
-        )
+    # We can't use normal tuple comparison here because the version tuples might
+    # not have the same length, in which case they wouldn't compare as expected.
+    for v, min in zip_longest(version, min_version, fillvalue=0):
+        if v == min:
+            continue
+        elif v < min:
+            raise DidNotEnable(
+                f"Integration only supports {package} {'.'.join(map(str, min_version))} or newer."
+            )
+        elif v > min:
+            return
 
 
 class DidNotEnable(Exception):  # noqa: N818
diff --git a/sentry_sdk/integrations/celery/__init__.py b/sentry_sdk/integrations/celery/__init__.py
index 51eedf976b..b81e622003 100644
--- a/sentry_sdk/integrations/celery/__init__.py
+++ b/sentry_sdk/integrations/celery/__init__.py
@@ -24,6 +24,7 @@
     capture_internal_exceptions,
     event_from_exception,
     has_data_collection_enabled,
+    parse_version,
     reraise,
 )
 
@@ -36,7 +37,7 @@
 
 
 try:
-    from celery import VERSION as CELERY_VERSION  # type: ignore
+    from celery import __version__ as CELERY_VERSION  # type: ignore
     from celery.app.task import Task  # type: ignore
     from celery.app.trace import task_has_custom
     from celery.exceptions import (  # type: ignore
@@ -73,7 +74,7 @@ def __init__(
 
     @staticmethod
     def setup_once() -> None:
-        _check_minimum_version(CeleryIntegration, CELERY_VERSION)
+        _check_minimum_version(CeleryIntegration, parse_version(CELERY_VERSION))
 
         _patch_build_tracer()
         _patch_task_apply_async()
diff --git a/tests/test_utils.py b/tests/test_utils.py
index 64973ea5dd..9e5b68e9eb 100644
--- a/tests/test_utils.py
+++ b/tests/test_utils.py
@@ -8,7 +8,7 @@
 
 import sentry_sdk
 from sentry_sdk._queue import Queue
-from sentry_sdk.integrations import Integration
+from sentry_sdk.integrations import DidNotEnable, Integration, _check_minimum_version
 from sentry_sdk.utils import (
     Components,
     Dsn,
@@ -556,6 +556,57 @@ def test_parse_version(version, expected_result):
     assert parse_version(version) == expected_result
 
 
+@pytest.mark.parametrize(
+    "version,min_version,expected_pass",
+    [
+        ("1.0.0", (1, 0, 0), True),
+        ("1.0.1", (2, 0, 0), False),
+        ("1", (1, 0, 2), False),
+        ("1.0", (1, 0, 2), False),
+        ("1.0.1", (1, 0, 2), False),
+        ("1.0.1", (1, 0, 1), True),
+        ("1.0", (2,), False),
+        (
+            "1.0.1",
+            (
+                2,
+                0,
+            ),
+            False,
+        ),
+        ("1.0.1", (2, 0, 0), False),
+        ("2.0", (1,), True),
+        (
+            "2.0.1",
+            (
+                1,
+                1,
+            ),
+            True,
+        ),
+        ("2.0.1", (1, 1, 2), True),
+        ("1", (1, 0), True),
+    ],
+)
+def test_check_minimum_version(monkeypatch, version, min_version, expected_pass):
+    class TestIntegration(Integration):
+        identifier = "test"
+
+    monkeypatch.setattr(sentry_sdk.integrations, "_MIN_VERSIONS", {"test": min_version})
+    try:
+        _check_minimum_version(TestIntegration, parse_version(version))
+    except DidNotEnable:
+        if expected_pass:
+            assert False, (
+                "_check_minimum_version raised DidNotEnable when it shouldn't have"
+            )
+    else:
+        if not expected_pass:
+            assert False, (
+                "_check_minimum_version didn't raise DidNotEnable when it was supposed to"
+            )
+
+
 @pytest.fixture
 def mock_client_with_dsn_netloc():
     """