I suggest taking a mallet/hammer and tapping the frame together on both sides after you have finished making the call. That will seal the frame/adhesive solidly and should eliminate that problem.
However, with thinner reed material like proph, sometimes the problem is related to keeping the call in your mouth too much when hunting. I use mostly proph-reed calls and I never leave calls in my mouth unless I am calling. Them being constantly wet in your mouth will definitely relax the latex enough to deaden the sound of the call.