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United captain Maguire suffered ligament damage against Aston Villa earlier this month and has missed the last three games.
He has been in attendance at Old Trafford while on crutches, but attended the premiere of Sir Alex Ferguson's documentary on Thursday without support.
But Solskjaer has stressed the chances of him playing against Villarreal are very low in a press conference, stating: "He's walking but it's a long way from walking to running, to be honest.
"I don't think we'll see him Gdansk, no. But I'm going to give him until Tuesday night, last training session, to see if he can be out there. Steadily but surely he's improving. But ligaments take time to heal.
"He's a very important person in the dressing room and a leader. Before fans came in you all heard him from the stands, he does still want the team to do well, he's organising even from the stands, which has been easy because it's been so quiet.
"He'll come, he'll be in the dressing room, he'll make sure everyone's ready for the final."
United have sealed a second place finish in the Premier League but look to be ending the season with a stumble.
They haven't won since Maguire went down with injury and still look a ways away from challenging Manchester City at the top.
Solskajer was asked about potential transfers in the summer and he kept his cards rather close to his chest.
The Norwegian continued: "We're planning as we normally do.
"It's not like end of season, and let's see what we do, that's an ongoing process, looking at the squad, players who are going to stay, players who might be leaving.
"And, as I said a couple of times recently, I hope we're going to strengthen with two or three players we definitely need to challenge higher up in the table. We're still too behind to think it's just going to come by itself.
"We've had a few players on loan that might come back in, there is interest in a few others, maybe going out. But you want to come out of the transfer window strengthened and it might be we allow some players to go out and gain experience, come back stronger for it.
"Apart from that, it's difficult to say. I can't see too many outgoings."
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