In an interview with The Hill, Perkins said he would not rule out running for Vitter's seat should it become open.
“I never say never anymore,” he said, adding that he intends to stay in his role at the conservative Christian group for the "foreseeable future."
Perkins also weighed in on Rep. Bill Cassidy (R-La.), the GOP establishment-backed candidate running to unseat Sen. Mary Landrieu (D-La.) this year.
“I think his problem is his record. He’s been pretty weak on the issues. If the Republicans want to win, they actually need to find a stronger candidate," Perkins said.
Despite his strong criticism of Cassidy, Perkins said he would not be jumping in the race himself.
“I would rather somebody else do it," he said.
Perkins is no stranger to electoral politics, having served in the Louisiana House of Representatives from 1996 to 2004. He also ran for the U.S. Senate in 2002, but was defeated in the Republican primary by Suzanne Haik Terrell, who eventually lost to Landrieu.