If i can chip in, I have an SJ5 and have the Mono M80 & the M80 double gig bag
http://www.thomann.de/gb/mono_cases_dua ... _black.htm (I have 3 dingwalls and if i am playing far from home take a spare) the Mono bags are great, but i also bought this case and as Sheldon mentioned when i asked him about the case it fits snug but you might feel the body a bit to snug, and his advice was to use a ball point pen and push the places where the bass was to tight and this really worked, here is a link
http://www.zzounds.com/item--FENMLDPJBASSCASE , but as far as i know the Super P body shape is better suited to this case than the Jazz, and my Jazz fits fine now with Sheldons help, its just a pity the case says Fender and not Dingwall