Carrick joined Manchester United from Tottenham in 2006.
And the midfielder has gone on to win the Champions League, the FA Cup and five Premier League titles with the Red Devils.
Bryan Robson wants Manchester United star Michael Carrick to be given a new deal
However, he is out of contract at Old Trafford at the end of the season.
But Robson wants to see United hand the 35-year-old, who has started 12 league games this season, a new deal.
"Michael's 35 – for me, the way he's played this season and the influence he's had on the team has been pretty good," Robson told Omnisport.
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"I'm not bothered about the age.
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"It's about the desire of a player and how he looks after himself.
"So for me I think Michael deserves maybe another year and I can see Man United doing that."