Carrick joined Manchester United for £18million last summer.
He told The Sun: “Chelsea have invested hundreds of millions on players but have a problem when Terry isn’t there.
“They may have bought Khalid Boulahrouz, Mikel John Obi, Salomon Kalou and Andriy Shevchenko but that doesn’t solve the problem.
“They are all good players but don’t have the qualities of Terry. He never wants to lose and he is so important to them.
“We’ve realised we miss Michael Carrick. His biggest quality was to move play from defence to attack and win the ball. Because of him, other players played better.
“Tom Huddlestone has that quality but he has just turned 20 and he still has to make the next stage in his development.”