Neil Warnock has offered to manage Manchester United for free.
The Red Devils have dropped down to 14th in the Premier League after collecting just seven points from six matches.
Amorim lost the support of United fans following the humiliating 3-1 loss at Brentford last weekend.
The Portuguese manager still retains the backing of the club’s board, but their stance could change if results don’t improve soon.
Multiple names have already been linked to potentially succeed Amorim at Old Trafford, including Oliver Glasner and Andoni Iraola.
Experienced English manager Neil Warnock also put forward his candidacy after poking fun at Amorim for his use of a tactics board in the League Cup clash against Grimsby Town.
United face Sunderland at Old Trafford on Saturday in their final game before the international break.
Amorim’s side will be low on confidence after winning just two of their opening six top-flight games.
The situation is quite different in the other camp, with Sunderland enjoying a four-game unbeaten run in the Premier League.
Regis Le Bris’ side were expected to struggle after earning promotion from the Championship last season, but they have collected 11 points from six matches to climb up to sixth in the standings.

Sunderland will enter Saturday’s clash on the back of an excellent 1-0 victory at Nottingham Forest last weekend.