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Lindelof has started both of United's Premier League games so far but was given a rest for the Carabao Cup clash with Luton Town in midweek.
He has been the go to partner of captain Harry Maguire in central defence but his performances have begun to slip.
The Mirror have reported Solskjaer is worried about the Swede due to the lack of a preseason and the sheer volume of games he played last season.
Lindelof made 47 appearances across four different competitions for the Red Devils last campaign as they came third in the Premier League.
Sweden manager Janne Andersson left the 26-year-old out of a Nations League game against Portugal earlier this month, citing fatigue.
United are hoping the defender can have a proper rest during the upcoming international break and are set for discussions with Sweden in the coming weeks.
Opening day defeat to Crystal Palace and Saturday's win over Brighton were blighted by issues at the back.
But Solskjaer has faith in his defenders and has no desires to sign a centre-back this summer.
"We've got many defenders here and I put Eric [Bailly] on to bolster the defence, following the runs of Trossard and Maupay," he told BT Sport at the weekend.
"For me, we've got enough good centre-backs here at the moment.
"When you concede chances and concede goals, there are two different things you can look at - it's either the team shape, or are there any individual mistakes.
:x: Ole Gunnar Solskjaer rules out bringing in a new centre back before the transfer window closes! pic.twitter.com/xmdbSZt7Us
- SPORF (@Sporf) September 27, 2020
"We're not in our best shape of form, our shape isn't there, we're not sharp enough to stop crosses or follow the runs.
"We're a little bit behind, that's more structural mistakes than individual mistakes. I thought Victor did well today."
United return to action in the Carabao Cup against Brighton in midweek before a huge Premier League clash with Tottenham Hotspur on Sunday.
Do you think Manchester United need a new centre-back?
Let us know in the comments below.
Featured Image Credit: PA Images
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