Rooney celebrated his 28th birthday earlier this week and Carrick feels the England forward is now approaching the summit of his career.
Rooney has been one of United's shining lights this season after a summer of speculation over his future and he produced a virtuoso performance in Wednesday's UEFA Champions League win over Real Sociedad.
Rooney has five goals in 10 United appearances this term and Carrick is confident there is more to come from the former Everton man.
"If he wants to, Wayne can carry on playing for a long time yet," said Carrick.
"He is coming into his peak years now. I am sure he is looking to improve and he is playing well.
"As players, you have good spells and spells where it doesn't quite go for you.
"Wayne is having a great one at the moment and I am sure it will continue."