The Red Devils head into the game looking to return to winning ways after the disappointment of their goalless draw against Hull City at Old Trafford last week.
Manchester United have now stuttered to three successive draws in the top flight to leave their hopes of securing a top-four finish in doubt.
Jose Mourinho has been tasked with steering the Red Devils back into the top four this season but the Portuguese coach appears to have a fight on his hands to secure Champions League qualification.
And former Liverpool man Lawrenson is tipping Leicester to claim a point from a 1-1 draw at the King Power Stadium on Sunday.
Writing in his column for BBC Sport, Lawrenson said: “Manchester United dropped points again against Hull on Wednesday and they have now drawn six league games at home this season.
“That’s not because everyone has come to Old Trafford and been brilliant, it’s because United have struggled to score – and Jose Mourinho’s frustration about that was clear after the game.
“United have actually picked up more points per game away from home this season. I think they will add to that tally at Leicester, although it might be one point rather than three.
“The Foxes are in a bit of a mess now, with their title challenge turning into a relegation fight.
“Their away form is so poor and that means the pressure is on them to earn enough points at the King Power Stadium. Getting something out of this game would be a start.”
Manchester United finished fifth and won the FA Cup under Louis van Gaal last season.
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