The 28-year-old has slipped behind the Spaniard, who has had his critics throughout the campaign, but was widely praised following his display in United's 1-1 draw with Real Madrid in the Champions League last week.
"I certainly feel that my time here has been a success," Lindegaard told Jyllands-Posten. "I joined as a small fish in a big pond, and you have to be very strong not to get lost in that environment.
"I've had spells where I've been first-choice goalkeeper, which far exceeded my expectations, but that does not mean I am satisfied.
"Personally, I feel that I still haven't achieved my dream at United. I want to be a regular in the team, playing every time and delivering in the big games. That's my objective and I've only partially fulfilled that."