How can I eliminate the vibrations of the watch?

Which watch do you have? Most will allow you to turn off both audible alerts and vibration alerts.

On my Forerunner it's Menu >> System >> Sounds >> Vibration >> toggle on/off

On your watch. From the Instinct Solar manual: Silent Smart Notification Option

Turning on Silent for the Instinct, Instinct Tactical, and Instinct Solar Series

• Press and hold Menu
• Select Settings
• Select Phone
• Select Smart Notifications
• Select During Activity or Not During Activity
• Select Sounds
• Select Silent