And another fan has called for him to be given the job permanently after his Klopp comment.
"They really wanted to put a dent into our title aspirations, I think they didn't [do it] really".
"The mood has completely transformed - the atmosphere was one of the best I've seen at Old Trafford for years and it was 0-0!" The feel-good factor is alive and well at Manchester United!
With Marcus Rashford also doubtful for the next game, United could give opportunities to some of their next generation.
Solskjaer predicted Rashford, 21, would struggle to be available for Wednesday's league trip to Crystal Palace after being forced to play for most of the 0-0 draw with Liverpool with an ankle problem after United used all their substitutes in the first half.
The England global was often criticised by previous boss Jose Mourinho, but Solskjaer is getting the best out of him, and the former Southampton star kept Mo Salah extremely quiet throughout the contest. It is the same for United going to Anfield.
"In other countries they have less games, fewer competitions but now we have to face Schalke with important players missing".
Four draws in five matches - albeit one the goalless Champions League encounter with Bayern Munich - has taken some of the sting out of Jurgen Klopp's side.
"I was impressed with the way Chelsea defended, they were well organised and one of the toughest teams I've faced in my career".
Manchester United's injury crisis went from bad to absurd on Sunday.
Firmino is a big loss to Liverpool, with so much of their play going through him and his off-the-ball brilliance unrivalled.
"Easy isn't it? If we win every game we win the league".
"We've got to be strong, we've got to enjoy it, and I'm sure we will".