The Red Devils return to action in the Europa League, as they must finish off their round of 16 second leg against the Austrian side, having won the first leg 5-0.
Lingard has struggled this season but he will get his chance in the Europa League.
"Jesse [Lingard] will be starting tomorrow, but the team won't be too different to the last time we played LASK away in March," said Solskjaer to reporters.
"We know that it will be a difficult game. It wasn't a 5-0 game [in the first leg]. We scored three goals in the last five, so of course we know that we have to perform.
"There's opportunities for players [who do well in this game] to play in the quarters if we get through."