Rashford has been battling with a shoulder injury for quite a long time and has planned to go for a surgery that would keep him on the sidelines for about 12 weeks.
But Solskjaer disclosed that the club will take the best option for the 23-year-old in the coming weeks as he also provided updates on other United players who are yet to report for the pre-season.
"With Marcus, we’ll probably make a decision in next few days when we check him up again. The last decision-making," he said. "What’s best for him and best for the club has to be considered.
"With the boys who’ve not come back yet, I don’t know (how they are). I haven’t got a Scooby-Doo on how they are fitness-wise.
"Everyone’s due in Monday for training and then we’ve got two weeks. That means they’ve had three weeks since the last game – Fred at the Copa America and English finalists.
"So we’ll see how they are, what fitness levels they’re at because it’s down to them, what they’ve done during the holidays as well. I can’t just throw them in if it’s not safe or if they’re not fit enough."
Marcus Rashford who is still enjoying his holidays after Euro 2020 is expected to have a discussion with United hierarchy on whether to go under the knife when he returns.
The England forward was subjected to racial abuse after missing a decisive penalty in the Euro 2020 final against Italy.
Man United with hopes of winning the Premier League title this season after finishing second last term have augmented their squad with the signing of Jadon Sancho from Borussia Dortmund and have also agreed a deal to bring in Real Madrid defender Raphael Varane.
