The 20-year old forward completed a move to the King Power Stadium on deadline day, having made just one competitive appearance for the Red Devils since progressing through their academy.
The Welshman, who was called up to the senior squad for this round of international fixtures, has spent two spells away from Old Trafford in his short career scoring five goals in 28 games for Carlisle and Yeovil Town.
However, with first-team chances limited in Manchester, the youngster signed a four-year deal with the Foxes, and development squad coach Steve Beaglehole expects him to make an immediate impact in the first-team fold.
While there are indications that Lawrence will feature a few times for the Under-21 squad, Beaglehole told the Leicester Mercury that he was signed with the express intention to challenge for a first-team spot.
“He may play the odd game but I think he has been signed as a first-team player.
“I would doubt he would be with us in the under-21s. He has come on a four-year contract and he is a player the senior people know.
“I am sure he will be in and around the first team, as Nick Powell will be.
“I was talking to the Manchester United coaches on a course last week and they rate him very highly, but they thought he had a lack of opportunity there.”
While the young forward will likely play for the Under-21’s in coming weeks, it will be as a means to reach full match fitness, but he will also be fighting to be included in the match-day squad on Saturday, with Leicester set for a tough away fixture against Premier League rivals Stoke City.