The 23-year-old has been struggling with a shoulder problem since 2020 and may require surgery in the wake of England's Euro 2020 rescheduled campaign.
But Solskjaer says the English Premier League (EPL) giants have not come to a decision so far and are still in talks with medical experts.
"No, we’re looking at the best options," Solskjaer told reporters recently when asked if Rashford will have an operation.
"Of course, he went away just to reflect on it a little bit. We have to take the best course of action for him and the club.
"We’re still addressing that with the experts."
Earlier, Rashford reflected on his injury.
He underwent a scan last Tuesday and a decision was taken that surgery was the only option. However, it is understood the operation will not take place for a couple of weeks. It is likely he will be out of action for 12 weeks but has an outside chance of returning for United’s EPL match against Liverpool at Old Trafford on 23 October.
Rashford netted 11 goals in 37 EPL appearances in the 2020-21 season but did not make a significant impact for England at Euro 2020. It adds frustration to the timetable of his return that he did not feature much in the tournament he delayed treatment for, but this gives him a bit more time off after suffering a heartbreaking loss in the final.