PERTH, Australia -- Ole Gunnar Solskjaer has confirmed David De Gea is on the brink of signing a new contract at Manchester United.

The Spaniard is on the verge of agreeing a new five-year deal worth in excess of £350k-a-week and Solskjaer is hopeful an announcement will be made soon.

"Hopefully we can agree with David as I've said a few times," Solskjaer told a news conference at the WACA cricket ground on Tuesday.

"That'll be up to David and the club to announce when that happens, if and when."

De Gea sat out the 2-0 win over Perth Glory on Saturday but is set to return to the team against Leeds United at Optus Stadium on Wednesday.

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Solskjaer is also expecting Romelu Lukaku to be fit for the second game of the summer.

The Belgian, who has been heavily linked with a move to Inter Milan, missed the game against Perth Glory through injury but trained with the squad on Monday and should feature against Leeds.

Eric Bailly and Victor Lindelof should also be fit after missing out against Perth. Luke Shaw limped off with a hamstring injury and may not be risked on Wednesday.

"We were all training [on Monday], no one missed training -- 24 players plus keepers," said Solskjaer.

"Lee Grant is still not fit and maybe we won't risk Luke. Rom is fit. Luke trained on Monday but we might not risk him."

Lukaku has travelled to Australia with United despite being keen to link up with Antonio Conte at Inter.

The Serie A side are yet to submit a suitable offer for the 26-year-old and Solskjaer is confident the former Everton man can have a positive impact at Old Trafford next season if his move to the San Siro does not come off.

"The day we start the league I'm sure everyone who's here will give absolutely everything for Man United," said Solskjaer.

"We want a strong team with players who give everything.

"There are always rumours speculation about Man United players but when the league starts we batten down the hatches and stay as a team."