Brees went 20-of-27 for 219 passing yards and hooked up twice with Lance Moore for scoring strikes as the Saints (5-5) got back into the NFC playoff hunt with their third straight win and fifth in six games.
Jimmy Graham led the Saints' receiving corps, logging a touchdown on six grabs for 29 yards. Mark Ingram picked up 67 rushing yards with a score.
The Raiders (3-7), meanwhile, fell for the third straight time despite 312 yards on 22-of-40 efficiency from Carson Palmer, who was intercepted twice.
Marcel Reece ran for 103 yards on 19 carries for Oakland.