Solskjaer’s agent, Jim Solbakken, was not immediately available for comment when contacted by CNN.
The former United striker has been under mounting external pressure after an inconsistent start to the season which has seen his side pick up just one point from their last four league games.
United currently sit seventh in the English Premier League, eight points behind leaders Chelsea and seven behind arch-rivals Liverpool.
The club’s next two league games sees them travel to Tottenham on Saturday before a home derby against Manchester City on November 6.
In between those league games United travel to Italy for a Champions League fixture against Atalanta as Solskjaer’s team seek to qualify for the competition’s knockout stages.