Having badly struggled under Jose Mourinho, United have won 13 of the 16 games since, including eight straight wins away from home, while barely a few days seem to go by now without the players publicly praising Solskjaer for his management.
Any announcement is unlikely to happen before the end of the season, but many pundits and supporters already believe it is almost a certainty that Solskjaer will be United's next boss.
The Norwegian even sent fans into a frenzy last week after revealing that he had been called in to film a video to promote Old Trafford season ticket renewals for next season.
According to the Daily Telegraph, there is a 'growing belief among the players that the Norwegian is making himself indispensable and the hierarchy will give him the job.'
It was revealed soon after Solskjaer, who is effectively on 'loan' from Molde, was appointed on an interim basis that United had already agreed a compensation package with his Norwegian employers should the arrangement become a permanent one.
Everything is looking rather rosy on the pitch for Solskjaer, but he does seem to have encountered a very minor snag off it because he is currently unable to live in his own house.
Solskjaer initially moved into the Lowry Hotel - where Mourinho lived for the entirety of his two-and-a-half years in charge - but revealed at a press conference in January that he had 'found a place' and planned to soon move out of the luxury Salford hotel.
A report from The Sun explains that Van Dijk moved in as a rental tenant when Solskjaer couldn't find a buyer.
The house, apparently worth £4m, was Solskjaer's family home during his first 15-year spell with United as a player and coach. Having left Manchester in 2011 to begin his senior managerial career back home in Norway, Solskjaer eventually put the property up for sale when it seemed as though he would no longer be needing it. But without a sale, it has since been rented out.
Van Dijk became the tenant after he completed his £75m record move to Liverpool from Southampton, with renting a common practice among professional footballers.
While the Sun declares with a smirk, 'Van Dijk is not leaving the mansion any time soon,' Solskjaer is unlikely to lose any sleep about his living arrangements seeing as he said himself weeks ago that he'd already found somewhere.
Source : 90min