diff --git a/src/mesa/main/texobj.c b/src/mesa/main/texobj.c
index 0f124459f75..c5459f4540f 100644
--- a/src/mesa/main/texobj.c
+++ b/src/mesa/main/texobj.c
@@ -757,7 +757,7 @@ _mesa_test_texobj_completeness( const struct gl_context *ctx,
       /* Adjust max level for views: the data store may have more levels than
        * the view exposes.
        */
-      t->_MaxLevel = MIN2(t->_MaxLevel, t->NumLevels - 1);
+      t->_MaxLevel = MAX2(MIN2(t->_MaxLevel, t->NumLevels - 1), 0);
    }
 
    /* Compute _MaxLambda = q - p in the spec used during mipmapping */