diff --git a/src/mesa/main/version.c b/src/mesa/main/version.c
index 3517bfe8f64..418d20e5cb2 100644
--- a/src/mesa/main/version.c
+++ b/src/mesa/main/version.c
@@ -330,6 +330,8 @@ compute_version(const struct gl_extensions *extensions,
                          extensions->ARB_transform_feedback3);
    const bool ver_4_1 = (ver_4_0 &&
                          consts->GLSLVersion >= 410 &&
+                         consts->MaxTextureSize >= 16384 &&
+                         consts->MaxRenderbufferSize >= 16384 &&
                          extensions->ARB_ES2_compatibility &&
                          extensions->ARB_shader_precision &&
                          extensions->ARB_vertex_attrib_64bit &&