The versatile forward had spent the first half of the season with League One outfit Carlisle United, scoring three goals in 11 appearances.
However, the Red Devils want seemingly want Wrexham-born Lawrence, 20, to play the rest of the campaign at a higher standard and have sent him to Championship strugglers Yeovil.
Glovers boss Gary Johnson told the club's official website: "I am very pleased to be able to bring Tom into our squad from Manchester United. He's a player that can play either side wide or as a regular number 10.
"Tom has got tremendous potential and has shown that at League One level with Carlisle and Manchester United have given us the opportunity to bring him on further in the Championship."