The Spain international is reportedly close to signing a new five-year contract with Manchester United worth in excess of £350,000 a week that would make him the highest paid goalkeeper in the world.
Club bosses have been trying to tie the goalkeeper down to a longer deal for some time and have finally been able to make a breakthrough in negotiations.
De Gea was rested from United’s pre-season opener against Perth Glory on Saturday but Solskjaer has confirmed that he will line-up against Leeds at the Optus Stadium on Wednesday.
“He’ll play and hopefully we can agree (on a new deal) with David, as I’ve said a few times,” Solskjaer told reporters in Australia.
“That will be up to David to announce when that happens, if and when.”
The Norwegian refused to be drawn into speculation regarding the potential signing of Harry Maguire amid reports that he has told Leicester City he wants to leave.
“There’s been loads of speculation but I can’t really say anything,” Solskjaer added.
“There’s a limit of players and whoever performs will be part of the team and whoever doesn’t they will have to fight to get back in.”
“He’ll play and hopefully we can agree (on a new deal)”
Ole Gunnar Solskjaer
Ahead of the Leeds clash, Solskjaer said he expected a competitive game with their rivals but shunned fears about trouble between both sets of fans.
“I wouldn’t think there will be trouble,” he said. “If you make the effort to come across here and watch your favourite team football, the reason is to support your own team.
“The more you play against each other the more the rivalry will flare up again and you want games against the biggest clubs.
“If we see Leeds back in the Premier League, you’ll see the size of the game. It’s a great occasion for both sets of supporters because there were some fantastic games.
“I want my players to go out there and try and win and that’s the same with Marcelo (Bielsa).
“We’re competitors and if you play a game you want to win but, of course, it’s going to be using fair methods. If it’s Leeds, Liverpool or Perth Glory you just want to win the game.”
The two teams have not met since a League Cup clash in 2011 and have not met in the league since 20014 when Leeds were relegated.
The game will kick-off ad midday on Wednesday UK time.