McVeigh worked with the Birmingham City manager at Tottenham.
"I worked with Chris at Tottenham for six years and you don't get any better than Chris for a football man because he has been there, seen it, done it," said McVeigh.
"He has been in the game so long now and he is having his time at management, and he's proving what he can do in the management level. He did well at Newcastle and obviously he is doing well at Birmingham at the minute as well. He's also a very nice man, which just adds to all his credentials. So if Chris is going to be the next Norwich manager then he would be a great appointment."