The defensive duo were both substituted during United’s comfortable 4-1 win over Istanbul Basaksehir in the Champions League on Tuesday night.
Swedish defender Lindelof has been suffering from a back injury throughout the current season and was replaced at half-time by Axel Tuanzebe after a slight knock late in the first-half.
Wan-Bissaka was also replaced an hour into the match after he picked up a slight ankle knock and went straight down the Old Trafford tunnel to receive treatment for his injury.
United will be desperate for the duo to return when they travel to face Southampton in the Premier League on Sunday afternoon, with Solskjaer optimistic the pair will be back in contention by the end of the week.
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“Hopefully they’ll be ready for the weekend,” Solskjaer told BT Sport. “It’s ankle for Aaron and back for Victor. There was no point taking any more risks.”
United’s victory on Tuesday night means they now just need one more point from their remaining two matches to qualify from Group H, but Solskjaer is eager to go one better by securing top spot ahead of their remaining games against Paris Saint-Germain and RB Leipzig.
He added: “We need one point, but of course we want to be top of the group but we’ll take it one game at a time.”