diff --git a/src/hb-open-file.hh b/src/hb-open-file.hh
index fc94836a2..c2d65eb1d 100644
--- a/src/hb-open-file.hh
+++ b/src/hb-open-file.hh
@@ -102,7 +102,13 @@ typedef struct OpenTypeOffsetTable
   {
     Tag t;
     t = tag;
-    return tables.bfind (t, table_index, HB_NOT_FOUND_STORE, Index::NOT_FOUND_INDEX);
+    /* Use lfind for small fonts; there are fonts that have unsorted table entries;
+     * those tend to work in other tools, so tolerate them.
+     * https://github.com/harfbuzz/harfbuzz/issues/3065 */
+    if (tables.len < 16)
+      return tables.lfind (t, table_index, HB_NOT_FOUND_STORE, Index::NOT_FOUND_INDEX);
+    else
+      return tables.bfind (t, table_index, HB_NOT_FOUND_STORE, Index::NOT_FOUND_INDEX);
   }
   const TableRecord& get_table_by_tag (hb_tag_t tag) const
   {