The 35-year-old, who joined Man United in 2006, signed a one-year extension at the club over the summer.
It was reported last week that Carrick, following a sensational display during United’s 3-1 win over Swansea City, would receive another extension in accordance with an option on his existing contract.
However the Englishman, speaking on Sky Sports earlier this week, has conceded that, at the age of 35, his time at the highest level is nearly up.
“There’s always a chance of that isn’t there?” Carrick said when asked about extending his future at Old Trafford beyond this season.
“It is such a great club with great players, you can’t take it for granted and thankfully I’m here this season and playing my part.
“Hopefully I can play more of a part in the months ahead, strive for success and try to get some sort of silverware, because winning trophies is why we are here.
“I’m not going to make predictions about what is going to be happening next season.
“We are not even at Christmas yet and I just want to play as many games as I can and see how I’m feeling, how the body is feeling.
“That is the biggest gauge to see if I can still do it, if I feel I can still do it and the manager feels that.”
Not many 35-year-olds can feature at the heart of midfield, playing at the highest level, and completely control a game from start to finish.
Then again, no comparisons – in the Premier League, at least – really exist for Carrick. His style is strictly unique, deviating from modern football’s conventional conception of a midfielder. The Englishman’s style is purer: receive the ball, locate space, pass into it, move, repeat. No modern complexities, no elaborate plans, just football at its absolute purest.
United fans will be desperate to see the Englishman, a fundamental component under Mourinho, remain at Old Trafford for as long as possible.