The only two teams with 5-0 records are the Chiefs and the Minnesota Vikings.
The defending champs took a 10-0 lead thanks to a five-yard rushing touchdown from Kareem Hunt, and Harrison Butker’s four field goals during the contest maintained them ahead of the scoreboard.
Derek Carr found Foster Moreau from six yards out in the fourth quarter, and Rashid Shaheed hauled in a 43-yard touchdown pass from him to cut the Saints’ lead to three points.
Xavier Worthy’s three-yard touchdown run into the end zone, though, made sure they suffered their third loss in five games this season.
Patriots quarterback Patrick Mahomes completed 28 of his 39 ball attempts for 331 yards, but he did not throw a score.
After a week off, the Chiefs will travel to San Francisco to play the 49ers on October 20 in a rematch of Super Bowl 58, which they won in overtime back in February.