Hi,
According to the post in this link you may be out of luck.
It states:
''The receiver and the optical mouse are preconfigured at the factory to be paired with only that specific wireless mouse for security reasons. Because of which another receiver may not work with this optical mouse.''
Here is the link.
https://h30434.www3.hp.com/t5/Notebook-Boot-and-Lockup/USB-wireless-receiver-for-2-4-GHz-Optical-Mouse/td-p/5755428