Wireless Mouse for two devices

Hello Together,

i am using a wireless mouse device with keyboard.

I am working with 2 Laptops (either / or but never at the same time). Currently i have to change the USB-Stick from one Laptop to the the other which is in the long term very annoying.

Can i use a second USB-Stick for the second Laptop and if yes how can i order the correct one fitting to my mouse?

Thx

Wolfgang