The Black Cats were due to visit Stamford Bridge on Saturday, 6 April, but the game has been moved to the following day due to Chelsea reaching the quarter-final stage of the Europa League.
Last season's European champions host Rubin Kazan in the first leg of their last-eight tie, and they have been given an extra day to prepare for the visit of Martin O'Neill's strugglers.
A statement on Sunderland's website read: "The Black Cats will now travel to Stamford Bridge on Sunday, April 7 for a 3pm kick-off, moving back 24 hours from the original scheduled game.
"The change comes due to Chelsea's involvement in the quarter-final of the UEFA Europa League, where they face Russian side Rubin Kazan on Thursday, April 4."
Chelsea face a daunting run of six matches in just 16 days following the international break, starting with a Premier League trip to Southampton on 30 March.