diff --git a/modules/git/blame_sha256_test.go b/modules/git/blame_sha256_test.go
index 01de0454a..92f8b5b02 100644
--- a/modules/git/blame_sha256_test.go
+++ b/modules/git/blame_sha256_test.go
@@ -11,6 +11,8 @@ import (
 )
 
 func TestReadingBlameOutputSha256(t *testing.T) {
+	skipIfSHA256NotSupported(t)
+
 	ctx, cancel := context.WithCancel(context.Background())
 	defer cancel()
 
diff --git a/modules/git/commit_sha256_test.go b/modules/git/commit_sha256_test.go
index 82112cb40..916169f4e 100644
--- a/modules/git/commit_sha256_test.go
+++ b/modules/git/commit_sha256_test.go
@@ -14,6 +14,8 @@ import (
 )
 
 func TestCommitsCountSha256(t *testing.T) {
+	skipIfSHA256NotSupported(t)
+
 	bareRepo1Path := filepath.Join(testReposDir, "repo1_bare_sha256")
 
 	commitsCount, err := CommitsCount(DefaultContext,
@@ -27,6 +29,8 @@ func TestCommitsCountSha256(t *testing.T) {
 }
 
 func TestCommitsCountWithoutBaseSha256(t *testing.T) {
+	skipIfSHA256NotSupported(t)
+
 	bareRepo1Path := filepath.Join(testReposDir, "repo1_bare_sha256")
 
 	commitsCount, err := CommitsCount(DefaultContext,
@@ -41,6 +45,8 @@ func TestCommitsCountWithoutBaseSha256(t *testing.T) {
 }
 
 func TestGetFullCommitIDSha256(t *testing.T) {
+	skipIfSHA256NotSupported(t)
+
 	bareRepo1Path := filepath.Join(testReposDir, "repo1_bare_sha256")
 
 	id, err := GetFullCommitID(DefaultContext, bareRepo1Path, "f004f4")
@@ -49,6 +55,8 @@ func TestGetFullCommitIDSha256(t *testing.T) {
 }
 
 func TestGetFullCommitIDErrorSha256(t *testing.T) {
+	skipIfSHA256NotSupported(t)
+
 	bareRepo1Path := filepath.Join(testReposDir, "repo1_bare_sha256")
 
 	id, err := GetFullCommitID(DefaultContext, bareRepo1Path, "unknown")
@@ -59,6 +67,8 @@ func TestGetFullCommitIDErrorSha256(t *testing.T) {
 }
 
 func TestCommitFromReaderSha256(t *testing.T) {
+	skipIfSHA256NotSupported(t)
+
 	commitString := `9433b2a62b964c17a4485ae180f45f595d3e69d31b786087775e28c6b6399df0 commit 1114
 tree e7f9e96dd79c09b078cac8b303a7d3b9d65ff9b734e86060a4d20409fd379f9e
 parent 26e9ccc29fad747e9c5d9f4c9ddeb7eff61cc45ef6a8dc258cbeb181afc055e8
@@ -131,6 +141,8 @@ signed commit`, commitFromReader.Signature.Payload)
 }
 
 func TestHasPreviousCommitSha256(t *testing.T) {
+	skipIfSHA256NotSupported(t)
+
 	bareRepo1Path := filepath.Join(testReposDir, "repo1_bare_sha256")
 
 	repo, err := openRepositoryWithDefaultContext(bareRepo1Path)
@@ -159,6 +171,8 @@ func TestHasPreviousCommitSha256(t *testing.T) {
 }
 
 func TestGetCommitFileStatusMergesSha256(t *testing.T) {
+	skipIfSHA256NotSupported(t)
+
 	bareRepo1Path := filepath.Join(testReposDir, "repo6_merge_sha256")
 
 	commitFileStatus, err := GetCommitFileStatus(DefaultContext, bareRepo1Path, "d2e5609f630dd8db500f5298d05d16def282412e3e66ed68cc7d0833b29129a1")
diff --git a/modules/git/utils_test.go b/modules/git/utils_test.go
new file mode 100644
index 000000000..876a22924
--- /dev/null
+++ b/modules/git/utils_test.go
@@ -0,0 +1,15 @@
+// Copyright 2024 The Forgejo Authors. All rights reserved.
+// SPDX-License-Identifier: MIT
+
+package git
+
+import "testing"
+
+// This file contains utility functions that are used across multiple tests,
+// but not in production code.
+
+func skipIfSHA256NotSupported(t *testing.T) {
+	if isGogit || CheckGitVersionAtLeast("2.42") != nil {
+		t.Skip("skipping because installed Git version doesn't support SHA256")
+	}
+}