diff --git a/src/hb-subset.cc b/src/hb-subset.cc
index c0752acc1..292a01000 100644
--- a/src/hb-subset.cc
+++ b/src/hb-subset.cc
@@ -238,6 +238,11 @@ _subset_table (hb_subset_plan_t *plan,
 static bool
 _should_drop_table (hb_subset_plan_t *plan, hb_tag_t tag)
 {
+  if (!tag)
+    /* Drop tables with no tag as that means table header in
+       _hb_face_builder_reference_table */
+    return true;
+
   if (plan->drop_tables->has (tag))
     return true;
 
diff --git a/test/fuzzing/fonts/clusterfuzz-testcase-minimized-hb-subset-fuzzer-5675720390475776 b/test/fuzzing/fonts/clusterfuzz-testcase-minimized-hb-subset-fuzzer-5675720390475776
new file mode 100644
index 000000000..3881fbe61
Binary files /dev/null and b/test/fuzzing/fonts/clusterfuzz-testcase-minimized-hb-subset-fuzzer-5675720390475776 differ