The Chelsea boss, who sanctioned the sale of Juan Mata to Old Trafford in January, believes the Red Devils' season is far from over and expects the Scot to ignite a response.
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, which occupies the final Champions league qualification spot.
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"They can, it's not easy, they know that. They know that they are in the limit for the top four," Mourinho said when asked if United can finish in the top four. "And they also know that teams like us, Liverpool, Arsenal, are doing OK, 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 Wednesday when they travel to Arsenal, who will be eager to atone for Saturday's embarrassing 5-1 thrashing at Liverpool.