The Scot was named as Sam Allardyce's successor at Sunderland last week for what is his first job in English football since being sacked by United over two years ago.
Moyes, who was at Spanish side Real Sociedad in between both jobs, signed the Belgian midfielder for Everton in 2008, before taking him to Manchester United with him in a £28 million deal in 2013.
The 28-year-old has not really endeared himself to Red Devils supporters during his three-year stint at Old Trafford, and Sky Bet have priced him with very short odds to reunite with his former manager at Sunderland.
The Black Cats are, at the moment, the only club listed, with the popular bookmakers offering odds of 1/2 on him staying at the Theatre of Dreams beyond this summer.
It remains to be seen whether United manager Jose Mourinho rates him or not, but if Moyes can help him rediscover his best form then Sunderland fans will surely be happy to have him on Wearside.