diff --git a/gsk/gl/gskgldriver.c b/gsk/gl/gskgldriver.c
index dec77c947a..cc27a89ef6 100644
--- a/gsk/gl/gskgldriver.c
+++ b/gsk/gl/gskgldriver.c
@@ -761,7 +761,8 @@ gsk_gl_driver_load_texture (GskGLDriver *self,
       GdkGLContext *texture_context = gdk_gl_texture_get_context (gl_texture);
 
       if (gdk_gl_context_is_shared (context, texture_context) &&
-          (!ensure_mipmap || gdk_gl_texture_has_mipmap (gl_texture)))
+          (!ensure_mipmap || gdk_gl_texture_has_mipmap (gl_texture)) &&
+          gdk_memory_format_alpha (gdk_texture_get_format (texture)) != GDK_MEMORY_ALPHA_STRAIGHT)
         {
           /* A GL texture from the same GL context is a simple task... */
           return gdk_gl_texture_get_id (gl_texture);