A last-gasp draw at home to Fulham on Sunday - secured by Darren Bent's 94th-minute header - heaped further pressure on Old Trafford manager David Moyes, with United falling nine points behind fourth-placed Liverpool, who occupy the final Champions league qualification spot.
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When asked if United can still finish in the top four, Mourinho said: "They can, it's not easy, they know that. They know that they are in the limit for the top four.
"And they also know that teams like us, Liverpool, Arsenal, are doing okay and it is not easy for them to close such a big gap, but it's possible.
"I feel sorry for them, I never enjoy when somebody is having some problems like they have but United is United and David is experienced enough to cope with the situation and the future will be better for them."
United and Moyes' credentials will be seriously tested on Wednesday when they travel to Arsenal, who will be keen to atone for Saturday's embarrassing 5-1 thrashing at Liverpool.