Maybe you could take a sip of water but don't swallow it. I mean about the smallest amount of water you could take from a cup and just keep it in your mouth. It's a long shot but it may work.

I usually have the opposite problem of too much spit which makes me want to swallow. I've got around this problem by tiliting my head to the side though so I can still breathe through my mouth without feeling the need to swallow.