Numerous media sources said the Uruguayan has left the club after 18 months in charge.
Poyet’s Sunderland suffered a disheartening and embarrassing 4-0 home defeat to fellow relegation battlers Aston Villa on Saturday and sit just one point above the drop zone.
Some infuriated fans tried to confront Poyet during the loss and the Uruguayan took full responsibility for the debacle in his post-match press conference.
Asked if he remained determined to carry on, he replied: “I do. That’s not even in question. I need to accept the responsibility. I pick the team, we train in a certain way and then Saturday 3pm, that’s the thing.”
However, reports suggested owner Ellis Short had run out of patience with the man he brought in to replace Paolo Di Canio.
Dick Advocaat is the early favourite to replace Poyet, while West Ham manager Sam Allardyce is also believed to be a target for Sunderland.