Newcastle take on West Ham United needing to win to confirm their Premier League status, meaning that the stakes could hardly be higher.
It is a huge game for the future of the football club, but question marks have been raised over the squad's determination to keep Newcastle in the top-flight, with the North East outfit currently on a 10-game winless streak.
During that time the Magpies have looked well off the pace, but Dummett is certain that everyone will be firing on all cylinders against West Ham.
"I think the squad do [know the matches importance], especially after the meeting we had," he said. "Everyone knows this is one of the biggest games in the club's history for many years, and one we need to win.
"We had a good talk and said that this game was going to be one of the biggest game for many years.
"That was mentioned in there and Carver did tell anyone who is not up for the fight on Sunday to leave now."
Newcastle couldn't have picked a better game to have on the final day, but they will need to improve markedly if they are to get the three points.
West Ham are off form and have little to play for, but they could still win if Newcastle put in a performance which is in line with the sort of displays they have been showing of late.
If Newcastle do lose, they will have to rely on Manchester United avoiding defeat against Hull City at the KC Stadium, otherwise they will be relegated.