Wayne Rooney returned to Manchester United training on Thursday after missing three matches over the festive period due to injury.
Schweinsteiger, meanwhile, could also make Mourinho's midfield after the boss confirmed that the Germany worldwide will not leave the club during the current transfer window.
"For many months we made the decision he was not an option".
"Since then, he's been working very well and never an injury - he was ill last week, but never an injury".
Widely regarded as one of the finest defenders to wear the United shirt, Stam will naturally advise his defenders on how to handle the Reds' top scorer Zlatan Ibrahimovic, who has 18 goals this season and was this week voted the club's Player of the Month for December.
"Again, my approach, which I think is the right one from the human point of view, is that if the player is not playing, I can not stop him to leave - if the offer is right".
"Hopefully, David is not our Player of the Year again this season, but hopefully he keeps making important saves for us like he did in the last match".
"If you actually read the page from which it was taken, I don't think he could have been any more complimentary about us", said Gary Neville, who also revealed that Stam had rang him as the Dutchman was "gutted about" the way remarks had been portrayed. "In this moment, it looks like zero per cent because we don't have any offer that is close to the quality the players have".
"It's a busy time for us but we are in a good situation", he added.
Whether the 2014 World Cup victor actually does play on Saturday, or indeed in the EFL Cup semi-final against Hull on Tuesday, remains to be seen, but Mourinho's attitude towards him is still far more positive than it was even two months ago.
"We know it's going to be a tough game, but we've got confidence in ourselves, we believe in what we can do".
"We've got nothing to lose when we play there", said the former Holland worldwide.
"When they play phenomenally, people forget, and when they make a mistake, everyone remembers".
Manchester United have been in good form in the Premier League in recent weeks and made it six wins on the spin when they beat West Ham United 2-0 at the London Stadium on Monday night.
But the Manchester United manager feels the goalkeeper being the best player on the pitch for the Red Devils is not a healthy sign for the club of their stature.
"That doesn't mean I didn't like them".
"I have already played against Championship teams at home", Herrera told MUTV.