Vice-captain Carrick has become a key member of Mourinho’s side since making his first league start of the season in November.
But the midfielder, who is in his 11th year at Old Trafford, turns 36 in July and is out of contract in the summer.
And asked if the England international will be at Manchester United again next season, Jose Mourinho said: “I see many positive things in Carrick but I cannot go to his identity cards and delete five years. He is not 30.”
Jose Mourinho is unsure whether Michael Carrick will be offered a new contract
Carrick's current deal at Manchester United runs out in the summer
Carrick currently earns around £130,000-a-week at United but it was reported earlier today that Carrick would need to take a pay-cut if he wants an extension.
According to The Sun, United chiefs want Carrick to almost half his wages at United by taking a £70,000-a-week deal.
A United source told the paper: “Carrick could be asked to take a reduction to his salary to secure another deal.
Man United boss Mourinho leaves the Lowry as Leicester preparations continue
Sat, February 4, 2017
A smiling Jose Mourinho was snapped leaving the Lowry this morning has preparations for Manchester United's clash with Leicester continue
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Jose Mourinho looked happy has he left the Lowry this morning
“He wants to stay and by all accounts Jose has told the board similar. He is on big wages here and would have to take a cut.
“Carrick’s influence and experience in United’s engine room is undeniable, he’s a key player for the team."