They will face Manchester City on Wednesday night, and Solskjaer thinks his side can bounce back with a win.
"Go back to QPR (when Milner won the title at Man City on the final day) and it's not easy when you're playing to win a league title".
The Chilean has massively underwhelmed since signing in January 2018 and reports suggest he could already be on his way out of Old Trafford.
"Four games left and we have to win our four games to retain the title", Guardiola told reporters on Tuesday. It is really simple, but it is really hard because the basic things are working for your team-mates, stay in your position, defend, don't let the player cross, win the second ball - those things, we don't really talk about this, but they are details that make the difference in a game. The reason why is the fact this club in the last decade grew a lot and it is not scary to go there.
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With Paul George battling a shoulder injury, the team has not played anywhere near the level they had previously in the year. If people are not guarding you, you're left wide open, you're going to have to keep the defense honest ...
"It is not as scary to go there and play when before it was maybe more hard". There is little United fans would hate more at the moment than to see their fiercest rivals, Liverpool, win the title.
The recent scheduling has meant City and Liverpool have been swapping places at the top for weeks, but Pep Guardiola's men - now two points behind with this game in hand - have had the advantage of knowing their fate is in their own hands.
Since drawing 0-0 against Liverpool in the Merseyside derby, both Arsenal and Chelsea have also gone to Goodison and been beaten 1-0 and 2-0 respectively, but the Toffees performance was on another level this weekend.
"You can not expect things to happen overnight and we know that", Solskjaer said.
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"We will see if he can play one or two more games this season and next season take care of him". Sunday's game against an up and down Everton team was a chance to finally arrest the slide, but instead United put in a truly pathetic performance in which they were made to look like amateurs.
Manchester City have a wealth of options in midfield and are not lacking in replacements for Kevin De Bruyne. It is a muscular problem.
"First time in my life", Milner said about his support for United this week.
You don't go on a run like that if you're not a good team. "For these players it's possible but we've got to change our mindset", he said.
Meanwhile, Guardiola denied claims that winger Riyad Mahrez - the club's £60 million ($78 million, 69 million euros) record signing from Leicester last season - is unhappy at his lack of first-team opportunities and keen to move on from City.
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According to Opta, City have conceded 170 free-kicks, excluding off-sides, in the opposition half so far this season.