The 40-year-old coach is facing immense pressure after his team suffered a 3-0 defeat at the hands of their rivals.
Phil Foden scored the opening goal, and Erling Haaland scored two goals in the second half to secure the win for Manchester City.
Benfica presidential hopeful Noronha Lopes was spotted at Old Trafford during the match, and has expressed interest in bringing Amorim back to Portugal.
Lopes' vice-president candidate, Nuno Gomes, spoke about Amorim's potential return, stating that he is confident Amorim will one day become the coach of Benfica.
Gomes praised Amorim's capabilities, saying that he has shown he can make a positive impact on Benfica and take the team to a new level.
Despite the team's poor start to the season, the Manchester United board is reportedly still backing Amorim to turn things around.