It does sound like the Meters in the back-up, doesn't it? (See Below.) Ziggy alert! Right from the get-go.
It seems like this is an Allen Toussaint song, so it's possible that he did it first. (Wow, how about those rim-shots?) Lee Dorsey, man, if he shared a song with anybody at all, they'd better watch out. First, last or in between, Lee's gonna get you.
There are some great live videos of Lee up here on the Intertubes. Look around!