Dean Henderson, 23, enjoyed a marvellous season on loan with fellow Premier League side Sheffield United.
And with David De Gea and Sergio Romero at his disposal, Solskjaer has conceded he must make a 'difficult' decision on Henderson's future.
"I think I must be the most privileged manager in the world with the goalkeeping department I have with Sergio, David and we've got Dean Henderson coming back too," Solskjaer said.
"We have three top, top keepers. This season has shown how important Sergio has been for us and for me David is always performing, so we shall see what we do for the rest of the season and going forward. It is a difficult decision, yeah. But it's a nice problem to have."
Pushed about Henderson's return to the club, Solskjaer added: "I think it's as you say: competition for places is important. We are looking to have competition for places. We have Dean, Sergio, David in the ranks," Solskjaer explained.
"Lee [Grant], the fantastic professional that he is, is backing them up. It will be difficult to keep three of them at the club, so we will see what the decision will be there."