Vilma was declared inactive on Sunday. Jo-Lonn Dunbar started in his place.
New Orleans won 27-16 and remained a half-game ahead of Atlanta (5-3) in the NFC South. The Saints visit the Falcons next week.
Starting guard Jeremy Zuttah headlined Tampa Bay's inactives Sunday.
Zuttah missed practice all week with knee soreness. Also out were reserve defensive tackle Frank Okam, who missed practice with a sore calf, and receiver Sammie Stroughter, who tried practicing the past week with ankle soreness.
Information from ESPN.com NFC South blogger Pat Yasinsksas and The Associated Press was used in this report.