The trainer of Judo is also the trainer of Jiu-Jitsu and recommends all to combinate Jiu-Jitsu and Judo to have a faster progress in Jiu-Jitsu. mmm, don't know. That sounds a bit like the "FEJYDA"-Mix Alejandro wrote about. Thursday I can tell more.
Surely the Jiu-Jitsu the Judo coach is teaching is the rfejyda one.
I practised it for a short time some years ago and like Alejandro said is a mix between basic karate, basic judo and basic aikido. It has both kata training and sparring.
You can have a lot of fun in JJ too, but if you physical condition is not still good I'd suggest to stick to one art and work progressively.
Welcome to Spain btw.