Yes, it's normal to have more saliva when you're pregnant. Excessive salivation is called ptyalism, or sialorrhea, and the condition won't affect your baby.
Here’s what could help
Chewing on ice.
Using a minty mouthwash.
Brushing your teeth often with a minty toothpaste — it's also good for dental care, which is extra important during pregnancy.
Chewing sugarless gum.
Eating or drinking something sour, like sucking on lemon slices.