Unable to verify update: The WatchOS update couldn't be verified because you are not connected to the internet

Thanks for reaching out, Jpoueriet01.

It sounds like you're having some trouble with updating your Apple Watch. We can help.

Let's go ahead and start by following these steps If you see 'Unable to Verify Update' when updating Apple Watch:

• Check your Internet connection
• Restart your watch
• Remove media and apps

If the above doesn't resolve the issue, you can try the following as well:

Unpair and update your Apple Watch

1. Keep your Apple Watch and iPhone close together as you unpair them.

2. Open the Watch app on your iPhone.

3. Go to the My Watch tab, then tap All Watches at the top of the screen. 

4. Tap the info button  next to the watch that you want to unpair. 

5. Tap Unpair Apple Watch.

6. For GPS + Cellular models, choose to keep your cellular plan. 

7. Tap again to confirm. You might need to enter your Apple ID password to disable Activation Lock. Before erasing all content and settings on your Apple Watch, your iPhone creates a new backup of your Apple Watch. You can use the backup to restore a new Apple Watch.

Next, set up your Apple Watch with your iPhone. When asked whether you want to set up as new or restore from a backup, choose to set up as new. Then follow the onscreen instructions to finish setup. If you want to update to the watchOS beta, reinstall the beta profile after setup is complete.

Finally, update your Apple Watch.

Give that a try, and see if there is any improvement.

Hope that helps.

Take care.