Bruno Fernandes will wear the captain's armband when Manchester United play PSG on Tuesday night in their Champions League group opener.
The Portuguese will replace Harry Maguire, who did not travel with the team after failing to overcome an injury he picked while on international duty with England.
The Englishman played against Newcastle on Saturday but aggravated the knock picked against Denmark in midweek, ruling him out of the trip to France.
“We hope Harry will be fit for the weekend [for the Chelsea game] but we’re not sure,” Solskjaer told reporters in Paris.
“The captain is sitting next to me. Bruno will captain the team tomorrow [Tuesday].”
Bruno, speaking after learning of his role in Paris said;
“I was not expecting this,” Bruno admitted. “I know the same time as you. Of course, for me, it’s an honor I will be captain for my team-mates and being captain of Manchester United is important for me.
“I think the captain is everybody and everyone needs to help; everyone needs to be a leader. The leadership is different in every player.
"Tomorrow will not be about me, it’s about the team. Leading the team is every day in the training ground, every training, every game, and I think everyone is doing their own job to lead the team in the way they think is the best.”
United will also be without a number of other players, including new signing Edinson Cavani, Eric Bailly, Jesse Lingard, and Mason Greenwood.