United can continue their charge to back-to-back titles with a win over David Moyes' men, but anything other than victory could leave Manchester City within striking range of the champions ahead of their derby on April 30.
City face Wolves later on Sunday, but are expected to win that fixture easily, meaning a United flop at Old Trafford would put Roberto Mancini's men within a result of the top.
Everton have been in superb form in the league, too, which would no doubt make Sir Alex Ferguson nervous ahead of their visit.
Moyes' side are unbeaten in four in the league, and kept clean sheets in three of those affairs.
An FA Cup semi-final loss to derby rivals Liverpool will also ensure the Evertonians are reeling ahead of their Manchester battle, and they would love nothing more than to upset the Red Devils' run for a record 20th Premiership.
Everton are only missing Leighton Baines and Jack Rodwell to injury, while United are minus Federico Macheda, Anderson, Anders Lindegaard, Darren Fletcher, Nemanja Vidic and Michael Owen due to ailments.
United have won their past five home league matches against Everton, with the boys in blue last earning a point at Old Trafford in December 2005.
Last time at the venue, though, it took the home side 84 minutes to find a breakthrough via Javier Hernandez.