Life for the new Manchester United boss has started well with four wins from his opening four matches in charge.
Solskjaer has his side playing the attacking football fans craved under Mourinho but there are still some concerns at the back.
Mourinho made no secret of his desire for a new centre-back last summer but executive vice-chairman Ed Woodward refused to back his manager.
However, it seems Woodward will be faced with the same decision this month with Solskjaer also keen to sign another defender.
According to the Independent, Solskjaer has told United’s hierarchy he feels the current squad he has to work with are good enough for this season.
But he agrees with Mourinho in that the club DO still need to sign another centre-back and has made that request clear.
The likes of Tottenham’s Toby Alderweireld and Leicester’s Harry Maguire were touted back in the summer but those ships have likely sailed now.
However, Inter Milan’s Milan Skriniar and Napoli’s Kalidou Koulibaly are now thought to be on United’s radar.
Ahead of United’s FA Cup clash with Reading this afternoon (12.30pm), Solskjaer was speaking about transfers.
Asked if he’s spoken to Woodward about potential signings, he said: “The club’s probably had a plan, you don’t just plan the next day and next month but this transfer window has probably been planned since the summer and year before, the next transfer window, the structure is phenomenal.
“I’m sure they’ve got their targets, I’m here to voice my opinion on that and I’m sure we’ll sit down, me and Ed if we’ve got anything in the pipeline.
“I’m here to work with the ones I’ve got, they’ve all performed and as long as they perform they should get a chance but that’s my job to improve the team and individuals.”
The Norwegian has only been placed in charge until the summer after stepping in following Mourinho’s sacking before Christmas.
However, there are reports he could be handed the job permanently depending on his success in the coming months but the 45-year-old says he hasn’t discussed his future.
He added: “No, no, no it’s early doors and, of course, when I came in they were open and honest about, they’re going to have a process, looking for the next manager but the more you’re here, the more you enjoy it but it’s one game at a time and the day they announce the next manager, if it’s me or someone else, good luck.”