diff --git a/t/t5321-pack-large-objects.sh b/t/t5321-pack-large-objects.sh
new file mode 100755
index 0000000000000000000000000000000000000000..c36c66fbb43a739e045f6b2cd1c1dd0759a0fe01
--- /dev/null
+++ b/t/t5321-pack-large-objects.sh
@@ -0,0 +1,32 @@
+#!/bin/sh
+#
+# Copyright (c) 2018 Johannes Schindelin
+#
+
+test_description='git pack-object with "large" deltas
+
+'
+. ./test-lib.sh
+. "$TEST_DIRECTORY"/lib-pack.sh
+
+# Two similar-ish objects that we have computed deltas between.
+A=01d7713666f4de822776c7622c10f1b07de280dc
+B=e68fe8129b546b101aee9510c5328e7f21ca1d18
+
+test_expect_success 'setup' '
+	clear_packs &&
+	{
+		pack_header 2 &&
+		pack_obj $A $B &&
+		pack_obj $B
+	} >ab.pack &&
+	pack_trailer ab.pack &&
+	git index-pack --stdin <ab.pack
+'
+
+test_expect_failure 'repack large deltas' '
+	printf "%s\\n" $A $B |
+	GIT_TEST_OE_DELTA_SIZE=2 git pack-objects tmp-pack
+'
+
+test_done