The midfielder has been sidelined with an ankle injury since the 1-0 win at Everton on 29 October but is ready to make his comeback against Kenny Dalglish’s side.
Cleverley was due to play in the Reserves’ postponed clash with Chelsea at the start of the week and he was not selected for Thursday’s Manchester Senior Cup defeat to Man City, leading to speculation he would be involved in the first team this weekend.
Sir Alex said at his Friday press conference: "Tom's training well. We were disappointed the Chelsea Reserves game was called off on Monday. The plan was for him to stay over with us [after last Sunday's first-team game at Stamford Bridge] and play in the game on the Monday. That was called off. But he's trained very well and he'll be involved tomorrow."
Chris Smalling could also take his place in defence after missing the Chelsea draw with a knock, but Phil Jones will only be back for the Europa League trip to Ajax next week.
"There’s not much change on the injury front for us," Sir Alex added. "I think Smalling could be available, but all the rest is as it was last Sunday.
"Phil Jones got a knock against Manchester City, which he never quite recovered from. He'll be fit for next week. He'll be fit for the Ajax game."
Sir Alex is expecting another tough encounter with Liverpool and wants his side to cut out the concentration lapses that allowed Chelsea to take a three-goal lead last weekend.