Meanwhile, Solskjaer has also offered support to Paul Scholes, who resigned as Oldham manager after just 31 days on Thursday by extending an invite to his former United teammate to visit Carrington.
Having to face Lionel Messi's Barcelona on their turf in the second leg on 16 April could put United at a disadvantage, as the Catalans have not lost any of their last 30 home games in the competition, winning all but three of those.
Despite being heavy favourite to land the job full-time, the club are yet to make an official announcement although Solskjaer is now openly talking about planning for the summer transfer window - including links with Real Madrid winger Gareth Bale, whose future is uncertain following Zinedine Zidane's return to the Bernabeu.
"I can't really comment on Gareth Bale or specific players because they're property of other clubs but we should look for quality players, definitely, and players who could improve us as a team", Solskjaer said.
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"Obviously you want to play big games, but when the draw is coming up you're kind of thinking you want the easiest draw possible, so we can get through. In United, we're up against one of the most in-form teams in Europe, so it's exciting".
Lukaku cropped the injury during the Champions League win over Paris-Saint Germain and made it more severe after playing against Arsenal last week.
"I'm probably completely different to 99 per cent of managers, as I prefer away last like we had against PSG (in the previous round)", Solskjaer said.
Roberto Martinez rates Romelu Lukaku as "50/50" to play a part in Belgium's upcoming matches and does not expect the striker to play any part in Man United's next match.
"So now we've got the big one, and the prize is you go to Wembley for a semi-final". They've been training better this week.