Matic, 28, has been training alone at Chelsea amid interest from Manchester United.
Jose Mourinho wants to take the midfielder to Old Trafford but so far a deal hasn"t been done.
But Sky Sports man Sheth believes Matic will move this summer.
He said: "Another likely departure from Chelsea is the midfielder Nemanja Matic.
"Manchester United are interested and manager Jose Mourinho has made public his desire to bring in a holding midfielder.”
Matic had been linked with a move to Juventus but their interest has since cooled.
Sheth added: "Juventus, well that looked like a likelier destination earlier this month but their prime target appears to be Paris St-Germain's Blaise Matuidi."
Mourinho confirmed earlier this week his intentions to sign a centre-midfielder but stopped short of naming names.
The Manchester United boss said: "I would like one player [to be] a midfield player, [that] would give me more options to the balance and the team.
"Another one an attacking player, especially that can play through the wings to give me more attacking options but I never speak about players that belong to other teams.
"I don't like if any manager comes and would say he would like one of my players, that's not correct. I would like two more players but probably I only get one."