The Manchester Evening News says Solskjaer is privately unhappy with the United hierarchy for failing to sign a midfielder in the summer transfer window.
The Red Devils were strongly linked with West Ham ace Declan Rice, but the Hammers stood firm on their £100million valuation as United set about preventing Ronaldo from joining Man City.
United have since been linked with Kalvin Phillips but the Leeds star - who impressed immeasurably for England during Euro 2020 - looks certain to pen a new deal with the Yorkshire club.
Solskjaer has so far tried seven different midfield partnerships to try and find the winning formula this season.
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