The team has earned only four points from their first four Premier League matches and was eliminated from the Carabao Cup by Grimsby, a team from League Two.
Part-owner Sir Jim Ratcliffe recently visited Manchester to discuss the team's performance with Amorim, who is 40 years old.
The outcome of these talks is still unknown, but it's reported that Amorim has three games to turn his team's fortunes around.
According to reports, Manchester United would have to pay £12 million in compensation if they decide to replace Amorim.