The 36-year-old, who joined Manchester United from Tottenham Hotspur in 2006 for an £18m fee, became a mainstay in his side over the years and has a decorated trophy cabinet - winning five Premier League titles, one FA Cup and one Champions League trophy.
Carrick has seen his playing time this season limited after having gone minor surgery to correct an irregular heart rhythm.
Carrick said: "There comes a time when as much as you don't like it, it's time to stop playing football".
While Carrick has always had his critics, he has been admired by every United coach he's worked with, from Alex Ferguson all the way through to Mourinho. We're still talking about it, to be honest, so there's nothing totally confirmed as yet.
Carrick was appointed United captain in the summer and is in his 12th season at Old Trafford.More news: Jeff Goldblum is in Jurassic World Evolution
More news: 'Queer Eye' contestant Tom Jackson gets engaged to ex-wife Abby
More news: Virginia loses key player to broken wrist three days before NCAA tournament
The the 36-year old former England worldwide, made the disclosure while fielding questions from journalists ahead of his teams Champions league second half clash against Sevilla.
"But, yeah, it's looking likely".
"It started in the Burton game and then happened again in training", Carrick said.
"I got back fit and I wanted to finish on my own terms really".
"I need to keep myself fit and ready. There were two or three times when I wondered whether it was worth still playing, but I soon got over that".
"I can look at it and think I've give it my best, I've tried all sorts of different things to bring the best out of me over the years and I can say that I gave my best, so I can look back with no regrets".