Maybe by then Jindal will come to his senses?
Jindal won't appoint himself to the Senate, he'd just lose when the seat is up for election in 2016. He's quite unpopular in LA these days.
John Fleming (R, LA-4) or Charles Boustany (R, LA-3) are the likeliest replacements. But they might not get a cleared field when the seat is up for election in 2016. 2008 Nominee John Neely Kennedy (Landrieu defeated him 52-46 that year) might take a stab at it and 2014 Candidate Rob Maness might want another chance as well.
Democrats are hopeless barring a Mitch Landrieu nomination unless there's a toxic republican nominee.