Pearson said it was "a good opportunity" for the Ghana international.
He said if nothing materialised from Schlupp's stint at United, then he would consider letting Schlupp go out on loan.
Pearson told thisisleicestershire.co.uk: "He is training with them at the moment.
"I have allowed him to go there for a week. It is a great opportunity for him. We have a good relationship with United and I am not going to stand in his way to go there for a week's training.
"If anything comes of it, we will wait and see. They have had a good look at him.."