The current West Ham United manager has warned Solskjaer that if he does not start winning games soon at United, then he will have to pay the ultimate price.
The Norwegian has come under immense pressure after a disastrous start to the season, highlighted by dreadful defensive performances most notably against Tottenham Hotspur, losing 6-1 and most recently against UEFA Champions League minnows Istanbul Basaksehir 2-1.
The loss against the Turkish side followed a home loss against Arsenal, leaving United sitting in 15th in the Premier League table, ahead of a tough fixture away at Goodison Park against Everton, who are fourth after their incredible start to the season.
Whilst Everton's momentum has slowed down in recent weeks, with back-to-back losses in the league, they are still a very tough side to beat.
Moyes claimed that "All managers are under pressure at different levels."
"Manchester United probably has more pressure than any club in the world, and it comes with the job."
He added that "We all know exactly what happens if we don't win enough games."
With pressure mounting on Solskjaer, there have been plenty of talks over a possible move for former Tottenham and Southampton manager Mauricio Pochettino, who has been linked with United even before Solskjaer became United manager back in 2018/19.
Top ESPN FC journalist Julien Laurens has claimed that Pochettino will be so keen on taking over at United that the club will not even have to make any prior contact before asking him to go to Old Trafford.
However, he has claimed that United will not be ready to sack Solskjaer too soon, even if there is another poor performance against Everton, saying that "Ed Woodward and people at the club still have some faith in him because of some of his performances".
He stated that "I'm hearing there's been no call to Pochettino," adding "I don't think they need to call him anyway, they know that he's ready and waiting and if they were to sack Ole Gunnar Solskjaer they could go to him and this deal would be done very quickly."
"He know as well that he doesn't need to speak to United, he knows he'll be on the shortlist if Solskjaer is sacked. Again, I don't think they need to call each other right now anyway."
"The fact is that pressure is getting more intense on Ole Gunnar Solskjaer, this is a huge game on Saturday."