Honestly nothing to be embarrassed about!

Don't forget what you chat about with your doctor is private.

Some people just salivate more than other. Like how some people suffer from dry mouth.

You may always have this but you are more conscious of it while kissing? Who knows!

Have a chat with your doctor or even dentist.

Hope you sort out.

Talk with your girlfriend about it so she is aware it's something you see as an issue. But there is nothing wrong if that's the way you are.

Good luck :)