The Red Devils have been in impressive form either side of the three-month hiatus but are supposedly looking to further strengthen at both ends of the field.
However, United may have a different look to them next season if they complete the capture of Skriniar.
With that in mind, Sports Mole looks at how Solskjaer may set out his side in the 2020-21 campaign.
Solskjaer appears to have found his preferred XI if the last few weeks are anything to go by.
David de Gea also looks nailed on to start in goal next season if Solskjaer's recent praise is anything to go by, despite the impending return of Dean Henderson from his successful Sheffield United loan.
It comes down to that one central-defensive berth alongside record signing Maguire, then, which reports suggest may well be occupied by Skriniar from this summer.
The Slovakia international will slot in to the right of Maguire and is also comfortable playing in a back five, which is another possible option for Solskjaer.
Indeed, the Red Devils used that formation a fair bit earlier in the season, albeit with less success than they have enjoyed since shifting to their current setup and personnel.