Through that point, Brees was 15-of-18 passing for 241 yards and three touchdowns, with a perfect passer rating of 158.3.
The Saints (10-5) need a win Sunday or a loss by the Arizona Cardinals to clinch a playoff spot.
Brees ranks fifth in NFL history in career passing yards. Heading into Sunday's game, he had 50,700 passing yards in his 13-year career with the Saints and San Diego Chargers.
All four of his 5,000-yard seasons have come with the Saints (2008, 2011-13).