The Frenchman had initially been ruled out for the season when he damaged knee ligaments while playing for France in the last international break.
Though Solskjaer didn’t rule out Martial featuring again, he was pessimistic about his chances and the Norwegian said he had to plan to be without the former Monaco ace.
But L’Equipe claim that Martial has stepped up his recovery by ‘resuming’ training, though it’s unclear whether the forward has trained with his team-mates just yet.
Nevertheless, it’s a positive sign that Martial could feature in the run-in, with United expected to book their place in the Europa League final on Thursday given their 6-2 aggregate lead against Roma.
Martial will not be available for the second leg, nor for Sunday’s visit to Aston Villa.
But United will still have four league games to play after that, as well as the Europa League final.
Martial has managed just four goals in the Premier League this term and his tally of seven in all competitions is his worst at the club in his six years at Old Trafford.
But United could do with all the firepower at their disposal if they’re to end their four-year drought, with the club last picking up silverware in 2017 when they won the Europa League in Stockholm.
Solskjaer is expected to make a number of changes for the visit to the Italian capital, with Donny van de Beek, Eric Bailly, Alex Telles and Daniel James all likely to come into the side.