[BenMcr]

Yes, it's a WiFi router.

But if the two are that close I'd still recommended a wired connection if you can. Wireless won't be an issue normally, however wired is generally always better where you can and for connected devices that don't move.

This is because wireless connections can be subject to interference and other issues like any radio signal. A wired connection will be more stable.

Your new computer has an Ethernet socket on it so does support a wired connection.