The club will be hoping he sees out his current three-year contract and possibly beyond, but links to the West Ham United job could see him leave the Riverside for the London Stadium.
The Hammers are bizarrely considering Moyes’ position as manager, despite the fact they’re seventh in the league and still playing in the Europa League.
West Ham qualified for the Europa League after winning the Europa Conference League last season, which was their first European trophy in 58 years.
But even if owner David Sullivan was to do the unthinkable and sack Moyes, then Carrick wouldn’t be first choice.
The former Manchester United midfielder could even be offered a new contract at Boro, according to transfer expert Graeme Bailey.
Speaking exclusively to Boro News, Bailey said: “He’s happy here [Middlesbrough]. I don’t think particularly he’s on anyone’s list at the moment; he’s always linked to West Ham but my understanding is West Ham have got some bigger targets to replace Moyes at the moment.”
“I think that’ll get done [new Boro contract for Carrick] before the start of next season.
The case for Carrick to manage West Ham
Before he went on to play for Spurs and United, Carrick was at West Ham between 1999 and 2004.
After making 159 appearances for the Irons in his early playing career, it would be fitting should he go back as to manage there.
In February, Henry Winter of The Times, gave his thoughts on a potential switch from North Yorkshire to East London for Carrick.
Winter told talkSPORT: “He (Moyes) is a good, reliable manager. But maybe fans are seeing all these young guns coming in.
“I always thought Michael Carrick might go there [to West Ham] at some point, but he is busy rebuilding Middlesbrough. There are good, exciting young managers around and maybe West Ham fans want that.”