Carrick’s current deal with United expires at the end of the season.
“I’d love to carry on playing as long as possible at this club. It’s a fantastic club, I’ve had great times here,” he told Sky Sports News.
“I feel good at the moment, I’ve just turned 32 so I’ve got a bit of time yet.”
Carrick joined Manchester United from Tottenham in 2006 and has become a key player at Old Trafford.
