They’re searching for their sixth permanent boss in the 11 years since Sir Alex Ferguson retired, after sacking Erik ten Hag.
Amorim has won two Portuguese titles with the Lisbon club and has been linked with a number of top European jobs.
Other names linked with the Old Trafford hot seat are Graham Potter, Xavi, and former England boss Gareth Southgate.
Brentford manager Thomas Frank insists he’s very happy where he is – regardless of speculation.
Brentford will be hoping to avoid an EFL Cup upset when they host Championship side Sheffield Wednesday for a place in the quarter-finals this evening.
Thomas Frank guided the Londoners to the last-four three years ago.