It depends what his development is. If he is only allowed throwing certain pitches and not others... then leave him down there. If he is currently allowed to throw what he wants and his command is good. Then let him come up for a spot start. I see nothing wrong with that. People seem to think that if he were to come up... and god forbid a mlb player gets a hit off him, he will just curl up and die.
Henderson Alverez was fine when he pitched his first time up..... if he had even an iota of a secondary offering he would have dominating. I think Norris has that. Even if he comes up and gets hits hard. He knows what he has to work on. I think it would be great if he came up. Just not sure that at this point he would be a huge upgrade over any of the 5.