The Sporting Lisbon coach is United's top target to replace Erik ten Hag as coach but insists that he remains focused on his duties at the Portuguese club despite the speculation.
He said after Sporting's 3-1 win against Nacional in the Portuguese League Cup on Tuesday (29.10.24): "Nothing is decided yet. I don't know if it's the farewell game or not."
Amorim later added in his press conference: "There was the club's statement and that's the only thing they have at the moment. There is interest from Manchester United, there is the payment of a clause and then, when I have something more concrete, I will tell you, because it is always my choice.
"When everything hasn't been decided, one way or the other, there's no point in talking much more, because otherwise we'll create noise.
"I'm not going to say anything properly, because I don't have anything useful to say. Just saying that I will take on whatever I want to do, as I have always done throughout my time as a player and even as a coach. Regarding the game, it was a strange game, a strange environment."
Amorim acknowledged that his players will be "disappointed" if he does opt to leave Sporting for United in the middle of the season.
He said: "Without a doubt, without a doubt. But I don't interfere in the players' lives. Now I talk to the players, because I'm Sporting coach. I want to do well for the group.
"I talked to the board about how we are going to manage the squad. But without a doubt my players will be, if I leave, they will be disappointed in me and sad with me. But it's part of life.
"I can't give you more than that. I understand that the players are even disappointed, sad. But I have to live with it. And the important thing is that we reach the end and know how to explain everything.
"Whether people understand it or not, the important thing is to come forward and explain it. And that's what I'm going to do."