The Portuguese eased some pressure with a win over Burnley before the international break, which left United with six points from four matches.
When asked if Mourinho was on 'borrowed time' by Sky Sports, Giggs replied: Giggs replied: "No, I think, obviously they won their last game.
"International break might come at a good time.
"Hopefully, it is always a worrying time at clubs, you want your players to come back fit and well.
"Now, hopefully, I am a Man United fan, hopefully, we can go on a run now."