Thomas and Lattimore, along with wide receivers Jarvis Landry and Chris Olave, could progress enough by Wednesday to be considered game-time decisions against the Arizona Cardinals. But, according to the report, only Olave (concussion) is viewed as having a strong chance to play on the short week.
Starting tight end Adam Trautman is also expected to miss Thursday night's game with an ankle injury.
At 2-4, the Saints are one game back of NFC South leaders Tampa Bay and Atlanta, who are 3-3.
Thomas (foot), Lattimore (abdomen), Landry (ankle) and Olave missed the Week 6 game with the Cincinnati Bengals.