The Saints were down by eight after Carr's 35-yard touchdown pass to A.T. Perry and a two-point conversion. The visitors tried an onside kick with 3:53 left and no timeout for the Saints. The Rams could close the game when Nacua retrieved it.
Nacua got a first down on a jet sweep. Stafford kneeled to finish the game following a New Orleans neutral-zone penalty after the two-minute warning.
Stafford only threw to Nacua, Robinson, Kupp, and Higbee. The quarterback had another great game, going 24-of-34 for 328 yards and two touchdowns with a 120.7 passing rating.
Nacua maintained his stellar rookie season with nine catches on 11 targets for 164 yards, including a 41-yard catch off a defender to start the third quarter. He gained 16 yards on two carries. Robinson caught six passes for 82 yards and scored a touchdown for the fourth straight game.
Williams ran 22 times for 104 yards, surpassing 1,000 yards for the season.
Alvin Kamara had nine carries for 19 yards for the Saints, who struggled to run. Carr completed 27-of-40 for 319 yards, three touchdowns, and one interception. Chris Olave caught nine catches for 123 yards after missing last Sunday's Giants win.
The Rams are 8-7 after winning five of six games after their Week 10 bye. Their only loss in overtime versus Baltimore in Week 14. The team will play the Giants in New Jersey next weekend before completing the season against the 49ers in the Bay Area.
With two games left, New Orleans is 7-8 after being tied for the NFC South lead at 7-7 entering Week 16. Week 17 will see the Saints play the Buccaneers away before completing the season against the Falcons at home.