Jindal is planning to make the announcement at an event in Monroe at 1:30 p.m. and Alexander said he would accept if the job is offered.
“I don’t think there’s a more honorable profession than representing veterans,” Alexander said, calling veterans “vastly under-recognized for their role.”
He said the position would be a “great opportunity.”
Alexander on Tuesday had announced he would not seek reelection in 2014, citing partisan gridlock. He said he has not finalized a timetable for when he would step down.
“I had already decided I wasn’t going to seek another term,” said Alexander, 66. “But I’m still a relatively young man. I’m not that old.”