diff --git a/src/mesa/state_tracker/st_cb_texture.c b/src/mesa/state_tracker/st_cb_texture.c
index b753db0c192..f05a9788302 100644
--- a/src/mesa/state_tracker/st_cb_texture.c
+++ b/src/mesa/state_tracker/st_cb_texture.c
@@ -2015,7 +2015,8 @@ st_TexSubImage(struct gl_context *ctx, GLuint dims,
     * etc. */
    if (!_mesa_texstore_can_use_memcpy(ctx,
                              _mesa_get_format_base_format(mesa_src_format),
-                             mesa_src_format, format, type, unpack)) {
+                             mesa_src_format, format, type, unpack) ||
+       st_compressed_format_fallback(st, texImage->TexFormat)) {
       goto fallback;
    }