Reports in English media and on social media claim that Rashford is undergoing a medical examination at Aston Villa.
Initially, the alleged transfer is said to be a loan deal for the rest of the season, with an option for Villa to buy Rashford for around half a billion kronor in the summer.
Neither Manchester United nor Aston Villa have commented on the reports.
Rashford has fallen out with Amorim and has not played in the Premier League since December.
Former United profiles such as Paul Scholes, Roy Keane, and Wayne Rooney have been harsh in their criticism of Rashford, who is seen as unengaged and uninterested.
Last season, he was dropped from the team due to disciplinary reasons. He also did not make it into England's European Championship squad last summer.
Aston Villa wants to strengthen offensively since Jhon Duran was sold to Saudi Al-Nassr last week.
Rashford has played more than 420 matches for Manchester United and scored 138 goals.
