He also needs a new center-back and has been linked with Kalidou Koulibaly from Napoli and Bayern Munich’s Niklas Sule.
Solskjaer has recently admitted his squad could use some freshening up but says he will not sign players based solely on reputation.
Asked if it is now tougher to attract new players than it was when he was a player, he said: “Probably it is because of the money being thrown around.
“But, to be honest, that is not the right type of player we want anyway. If they are only coming because they were offered 20 percent more.
“We want the player with the right quality and the right personality.
“That’s all my life I’ve always believed in human beings and what drives people. What makes you successful in the end.
“Driven by money or fame they are not right for Manchester United – or my team. It was the same in Molde, Cardiff and now here.
“I need players who reflect me as a person and my values. But you cannot say that we haven’t invested enough money already because they have invested loads of money.”
United face Chelsea at Old Trafford today looking for a much-needed win to get their charge for a top-four finish back on track.
They are currently big outsiders to qualify for Champions League football next season and Solskjaer faces a selection dilemma with a number of high-profile players out of form.
David de Gea made high profile errors against Barca and City but the boss has vowed to stand by his goalkeeper.
“I trust David,” the Norwegian said. “He’s, for me, been the best player United have had for the last six, seven years.
“He’s been absolutely outstanding. Going through tough patches is just part of a footballer’s career. David will be fine, no worries.”