Victory over Tottenham's Mauricio Pochettino, who remains the United board's No.1 choice for the job, would further enhance his case.
The Mirror says United's players have bonded with Solskjaer — on loan from his regular job as manager of Molde back home in Norway — in his three weeks in charge, with many now wanting the former Red Devils striker to get the nod for a permanent appointment.
Pochettino remains the man the top brass want long-term though, which is why this Wembley clash has assumed such significance for both men.
Solskjaer may lack the managerial and Premier League experience of Pochettino, with the Norwegian's ill-fated spell at Cardiff four years ago a blot on his CV. But he understands what makes United tick, and the unique demands of the biggest club in the world, having played there for 11 years.
Against that backdrop, the Old Trafford hierarchy are said to be keeping an open mind with regard to him keeping the job beyond this season.