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The 23-year-old has continued to impress at United out on the flank as he made 54 appearances in all competitions for the Red Devils last season.
And Wan-Bissaka, who was signed from Crystal Palace in a £50m deal in 2019, scored twice and registered four assists in 34 league appearances last season.
However, Solskjaer is considering a reshuffle to the United backline and identified the former Palace player as a potential centre-half option.
According to The Sun, the 48-year-old Norwegian plans to use Wan-Bissaka at centre-back to see if 'he could handle the position.'
The newspaper added that the United star would be 'ideal' on the right of a three-man backline or in the middle of a back four.
Solskjaer is keen to deal with United's defensive issues and find an effective partner to pair alongside Red Devils skipper Harry Maguire.
United have reportedly been linked with Atletico Madrid right-back Kieran Trippier as they aim to strengthen their defensive options.
Trippier, who is valued at around £15m to £20m, would provide competition for Wan-Bissaka's position in the new season.
The Red Devils are preparing for a huge summer spending spree as the United board have reportedly promised Solskjaer four new signings.
One of those United targets includes Villarreal centre-back Pau Torres, who was also linked with Premier League champions Manchester City.
Villarreal president Fernando Roig hinted last month that the 24-year-old Spanish defender could move to Old Trafford if United activated his £56m release clause.
Wan-Bissaka failed to make the initial 26-man England squad for Euro 2020, despite Gareth Southgate picking four right-backs at the time.
Liverpool right-back Trent Alexander-Arnold has now been ruled out of the forthcoming competition due to an injury.
However, Reds hero John Barnes believes that Wan-Bissaka was "unfairly overlooked" by England boss Southgate.
The 57-year-old told BonusCodeBets: "Look at Aaron Wan-Bissaka -- he is our best right-back by far in this country.
"But because he is not as good on the ball as the others, he got unfairly overlooked.
"So when we come up against a team like France, that is when you don't need a marauding player who will be more comfortable whipping in crosses and free-kicks in attacking areas.
"Everyone is clamouring for attacking right-backs or number tens, but do not pay enough respect to players who are out-and-out defenders or defensive midfielders.
"It doesn't matter if Southgate plays four or five at the back, if you don't have players who can defend properly, it is immaterial."
Featured Image Credit: PA
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