Manchester United boss Solskjaer will take his side to France on March 6 for the second leg of their Champions League tie with PSG.
The Red Devils go into the showdown 2-0 down from the first leg after goals from Prisnel Kimpembe and Kylian Mbappe gave Thomas Tuchel’s side a major advantage.
Manchester United were struck by injuries during the match at Old Trafford with both Jesse Lingard and Martial limping out.
Lingard returned the fold recently ahead of schedule.
But Martial is yet to feature since, with Alexis Sanchez, Romelu Lukaku and Juan Mata playing instead.
United face Southampton on Saturday (3pm) as they continue their quest to finish in the Premier League top four.
And the Evening Standard say Solskjaer is reluctant to field Martial against the Saints because he would rather save him for the PSG game.
In the Frenchman’s absence, the Red Devils have managed to retain their impressive form.
Chelsea were beaten 2-0 at Stamford Bridge with goals from Ander Herrera and Paul Pogba enough to give them an FA Cup win.
A goalless draw against Liverpool last weekend then followed.
And United survived without Martial against Crystal Palace on Wednesday, with a Romelu Lukaku brace and Ashley Young goal giving them more points.
The Evening Standard claim Solskjaer refused to even contemplate fielding Martial against Palace.
He is said to be in contention to feature against Southampton.
But Solskjaer’s preference is to throw him into the mix against PSG when the two teams lock horns next week.
Meanwhile, PSG are likely to welcome back Edinson Cavani for the showdown at the Parc des Princes.
The Uruguay international was sidelined for the first leg after sustaining a hip injury in the win over Bordeaux.
But he has retuned to training and could now play against United.
The game is expected to come too soon for Neymar, however.