Amorim has lost seven of his first 13 Premier League matches and United is currently in a disappointing 13th place.
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Although Amorim has great faith in the project, he acknowledges that a coach will always be in some way at risk in such a situation.
He said, "I accept that. It's a choice you make as a coach, but I firmly believe in the things I do.
"I know that in such a club with that pressure you are always in danger. I am aware of that, but that is not my main concern. Losing matches is the hardest part of my job – not being fired.
"I just want to win matches."