Should clasp on 1989 jubilee bracelet come unhooked catching on cuff?

[shudder]

I recently bought a very nice Datejust with a jubilee band and adjusted it a little to fit my wrist. I didn't remove any links, but slid the bracelet end further into the underside of the clasp (2 sets of holes between end of bracelet and the folding clasp connection, if that makes sense...). Anyway, it fits perfectly but I've noticed it's not as strong and secure as I might like. A few times in the past 2 weeks I've felt the watch come unclasped and am just lucky it didn't fall out of my jacket sleeve. Is this normal, or is there a way to make this a much tighter closure? Is the fact that so much of the bracelet is under the clasp a part of the problem at all?

Maybe I just need to be more careful? Any advice is really appreciated!