Hello,
The reason could be:
A. Gaps between teeth or missing teeth.
B. Medical reason for increased salivation.
It would be a good idea to get it evaluated by a dentist. This problem should be resolvable.
Sorry for the embarrassment faced by you, there could be quite simple way to get out of this situation.
Dr. Shruti Agarwal
Next Steps
1. See a dentist to see if there are missing teeth.
2. If required get the saliva testing done