Manchester United players are reportedly happy with the more inclusive approach of the 45-year-old and Ed Woodward is also impressed.
Paul Pogba has flourished since Solskjaer took the reins at Old Trafford.
The World Cup winner has netted four times and provided three assists in his last three matches.
Marcus Rashford and Romelu Lukaku are both impressing as well under the tutelage of Solskjaer.
Man Utd: Appointing Solskjaer would be 'MISTAKE' says Burley
Man Utd want Tottenham boss Mauricio Pochettino to succeed Jose Mourinho (Image: GETTY)
The manager has made it clear he would like the job on a permanent basis.
And Solskjaer is keen for his side to keep winning.
“I think the players are getting confidence and the feeling that we have momentum,” he said.
“It’s about keeping it up and let’s see where it takes us.
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Man Utd midfielder Paul Pogba has been a different player under Ole Gunnar Solskjaer (Image: GETTY)
“We’re always good towards the end of the season anyway.
“I’m not going to say top-four is our target because my target is the next game, but my target is also a certain way of playing.
“That certain way of playing will get us to where we belong in the end. I can’t say ‘if we get top-four it’s a success, if we don’t it’s not a success’, it depends on the performances.”
United return to action on Sunday when they take on Tottenham at Wembley in the Premier League (4.30pm).