diff --git a/src/setuptools_scm/git.py b/src/setuptools_scm/git.py
index 8f5c77e2..eb1d519a 100644
--- a/src/setuptools_scm/git.py
+++ b/src/setuptools_scm/git.py
@@ -5,6 +5,7 @@
 import os
 import re
 import shlex
+import sys
 import warnings
 
 from datetime import date
@@ -119,6 +120,8 @@ def parse_timestamp(timestamp_text: str) -> date | None:
             if "%c" in timestamp_text:
                 log.warning("git too old -> timestamp is %r", timestamp_text)
                 return None
+            if sys.version_info < (3, 11) and timestamp_text.endswith("Z"):
+                timestamp_text = timestamp_text[:-1] + "+00:00"
             return datetime.fromisoformat(timestamp_text).date()
 
         res = run_git(
diff --git a/testing/test_git.py b/testing/test_git.py
index 7918f47c..15f4d097 100644
--- a/testing/test_git.py
+++ b/testing/test_git.py
@@ -498,6 +498,22 @@ def test_git_getdate_badgit(
         assert git_wd.get_head_date() is None
 
 
+def test_git_getdate_git_2_45_0_plus(
+    wd: WorkDir, caplog: pytest.LogCaptureFixture, monkeypatch: pytest.MonkeyPatch
+) -> None:
+    wd.commit_testfile()
+    git_wd = git.GitWorkdir(wd.cwd)
+    fake_date_result = CompletedProcess(
+        args=[], stdout="2024-04-30T22:33:10Z", stderr="", returncode=0
+    )
+    with patch.object(
+        git,
+        "run_git",
+        Mock(return_value=fake_date_result),
+    ):
+        assert git_wd.get_head_date() == date(2024, 4, 30)
+
+
 @pytest.fixture()
 def signed_commit_wd(monkeypatch: pytest.MonkeyPatch, wd: WorkDir) -> WorkDir:
     if not has_command("gpg", args=["--version"], warn=False):