The Dane appeared set for an extended first team run at De Gea's expense before breaking down with an ankle injury earlier this year.
"Of course I hope to have some involvement," Lindegaard said.
"I want to contribute to winning the championship more than I have done so far.
"David has done a great job so far whilst I have been injured, and that is what it is all about, the team rather than individuals.
"Collectively, if we do our jobs properly I have not one single doubt in my mind that we will the trophy again this season."