diff --git a/t/t5504-fetch-receive-strict.sh b/t/t5504-fetch-receive-strict.sh
new file mode 100755
index 0000000000..66100124a9
--- /dev/null
+++ b/t/t5504-fetch-receive-strict.sh
@@ -0,0 +1,104 @@
+#!/bin/sh
+
+test_description='fetch/receive strict mode'
+. ./test-lib.sh
+
+test_expect_success setup '
+	echo hello >greetings &&
+	git add greetings &&
+	git commit -m greetings &&
+
+	S=$(git rev-parse :greetings | sed -e "s|^..|&/|") &&
+	X=$(echo bye | git hash-object -w --stdin | sed -e "s|^..|&/|") &&
+	mv -f .git/objects/$X .git/objects/$S &&
+
+	test_must_fail git fsck
+'
+
+test_expect_success 'fetch without strict' '
+	rm -rf dst &&
+	git init dst &&
+	(
+		cd dst &&
+		git config fetch.fsckobjects false &&
+		git config transfer.fsckobjects false &&
+		git fetch ../.git master
+	)
+'
+
+test_expect_success 'fetch with !fetch.fsckobjects' '
+	rm -rf dst &&
+	git init dst &&
+	(
+		cd dst &&
+		git config fetch.fsckobjects false &&
+		git config transfer.fsckobjects true &&
+		git fetch ../.git master
+	)
+'
+
+test_expect_success 'fetch with fetch.fsckobjects' '
+	rm -rf dst &&
+	git init dst &&
+	(
+		cd dst &&
+		git config fetch.fsckobjects true &&
+		git config transfer.fsckobjects false &&
+		test_must_fail git fetch ../.git master
+	)
+'
+
+test_expect_success 'fetch with transfer.fsckobjects' '
+	rm -rf dst &&
+	git init dst &&
+	(
+		cd dst &&
+		git config transfer.fsckobjects true &&
+		test_must_fail git fetch ../.git master
+	)
+'
+
+test_expect_success 'push without strict' '
+	rm -rf dst &&
+	git init dst &&
+	(
+		cd dst &&
+		git config fetch.fsckobjects false &&
+		git config transfer.fsckobjects false
+	) &&
+	git push dst master:refs/heads/test
+'
+
+test_expect_success 'push with !receive.fsckobjects' '
+	rm -rf dst &&
+	git init dst &&
+	(
+		cd dst &&
+		git config receive.fsckobjects false &&
+		git config transfer.fsckobjects true
+	) &&
+	git push dst master:refs/heads/test
+'
+
+test_expect_success 'push with receive.fsckobjects' '
+	rm -rf dst &&
+	git init dst &&
+	(
+		cd dst &&
+		git config receive.fsckobjects true &&
+		git config transfer.fsckobjects false
+	) &&
+	test_must_fail git push dst master:refs/heads/test
+'
+
+test_expect_success 'push with transfer.fsckobjects' '
+	rm -rf dst &&
+	git init dst &&
+	(
+		cd dst &&
+		git config transfer.fsckobjects true
+	) &&
+	test_must_fail git push dst master:refs/heads/test
+'
+
+test_done