Lindegaard kept his fifth consecutive clean sheet in Wednesday night’s 5-0 thrashing of Fulham at Craven Cottage, which kept the Reds two points behind City at the top.
United have won seven games and drawn one since October’s 6-1 derby hammering – and Anders expects the champions to get stronger in the new year.
"I think City are already under real pressure," the Danish keeper told MUTV. “Ever since the City match we have performed well.
"We were unlucky to go out of the Champions League and we can only blame ourselves for that, but apart from that we have performed very well – especially recently.
"We have played some really good games; we haven’t scored as many goals as we should have but we have played some good football.
"As far as I know, United have a tradition for being strong in the winter programme, so it is going to be a very tight spring to decide who will be champions."
Lindegaard once again impressed as David De Gea’s understudy in west London and is pleased to have been given several opportunities to stake his claim this season.
"Every position has two world-class players and the manger is not afraid of using the whole squad," he said. "I am one of the players who is very glad he is doing it like that.
"As I have said before, in 10 matches nobody will remember any of the saves; they will remember