The Saints have won their last nine Monday night games, all with Brees at quarterback and often putting on some of his most memorable performances.
There was his 307-yard, four-TD performance against Atlanta late in the 2011 season, the same game in which he broke Dan Marino's 27-year-old record for yards passing in a season.
Earlier that same season, Brees threw for 363 yards and four scores in a 49-24 Monday night win over the New York Giants.
The Saints' Super Bowl campaign was highlighted by Brees' 371 yards and five touchdowns in New Orleans' stunning 38-17 rout of Tom Brady and the New England Patriots.
Now his 10th career 400-yard outing has delivered a sobering blow to a Miami team that came in riding a surprising start.
"We'll find out a lot about the team we have by the way we come back tomorrow," Miami coach Joe Philbin said.
When Brees was a free agent in 2006, he drew the most interest from New Orleans and Miami, but the Dolphins, fearful of the effects of reconstructive surgery on Brees throwing shoulder, did not pursue the quarterback as enthusiastically as then-Saints rookie coach Sean Payton. Since then, Brees has become one of the most prolific quarterbacks in NFL history.
During New Orleans' opening drive, Brees became only the seventh quarterback to pass for more than 47,000 yards. He ended the drive with 47,030, surpassing Fran Tarkenton's 47,003 for sixth most yards passing all-time.
Later, Brees' eighth completion gave him 4,124 in his career, one more than John Elway for fourth all-time in that category.
Brees was 30 of 39 against Miami without an interception. Sproles caught seven passes for 114 yards. Marques Colston had seven catches for 96 yards.
Miami's Lamar Miller had 62 yards rushing on 11 carries, including a 5-yard scoring run late in the second quarter that made it 14-10, but the Saints began to run away with the game after that, and as they did, they turned up their pass rush. Tannehill was sacked four times in the second half, once each by Junior Galette, Martez Wilson, Cameron Jordan and Tyrunn Walker.