The Red Devils playmaker signed a new 12-month deal with the 20-time English champions on Friday after the 33-year-old scored the 23rd goal of his United career.
I think United will sit back, with Carrick helping Ander Herrera and Daley Blind to shield their defence
Carrick, who moved to the 20-time English champions from Spurs in 2006, netted the second goal in United’s emphatic 3-0 win against top-four rivals Tottenham Hotspur at Old Trafford last weekend.
Although Savage is tipping Carrick to play in a deeper role on Sunday, the former Blackburn Rovers midfielder is tipping the England international to be just as influential.
Savage told BBC Sport: “I don’t think he will get forward as much at Anfield as he did against Spurs, but he will still play a vital attacking role if United set up the way I expect them to.
“It will suit Liverpool if United go at them in the same way they attacked Spurs, because that leaves Rodgers’ side with space to break into.
“Instead, I think United will sit back, with Carrick helping Ander Herrera and Daley Blind to shield their defence, and also playing quick balls forward to hit Liverpool on the counter-attack.”
The former Spurs midfielder has scored 23 goals in 376 appearances for the Red Devils in all competitions during his nine-year United career.
Carrick, who has 31 England caps, has won five Premier League titles, the Champions League and League Cup since moving to Old Trafford.
The Red Devils midfielder could line up against Liverpool at Anfield in the Premier League on Sunday.
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