diff --git a/src/mesa/drivers/common/meta_generate_mipmap.c b/src/mesa/drivers/common/meta_generate_mipmap.c
index 0655f05..6731478 100644
--- a/src/mesa/drivers/common/meta_generate_mipmap.c
+++ b/src/mesa/drivers/common/meta_generate_mipmap.c
@@ -202,8 +202,12 @@ _mesa_meta_GenerateMipmap(struct gl_context *ctx, GLenum target,
    samplerSave = ctx->Texture.Unit[ctx->Texture.CurrentUnit].Sampler ?
       ctx->Texture.Unit[ctx->Texture.CurrentUnit].Sampler->Name : 0;
 
-   if (currentTexUnitSave != 0)
-      _mesa_BindTexture(target, texObj->Name);
+   /* We may have been called from glGenerateTextureMipmap with CurrentUnit
+    * still set to 0, so we don't know when we can skip binding the texture.
+    * Assume that _mesa_BindTexture will be fast if we're rebinding the same
+    * texture.
+    */
+   _mesa_BindTexture(target, texObj->Name);
 
    if (!mipmap->Sampler) {
       _mesa_GenSamplers(1, &mipmap->Sampler);