I can't speak to printers (much less yours specifically) but most home routers (or more generally servers that act as both DHCP and DNS servers) will create DNS

I can't speak to printers (much less yours specifically) but most home routers (or more generally servers that act as both DHCP and DNS servers) will create DNS records in a locally-administered zone for each DHCP client according to the request. This same zone is then given as the DNS suffix as a DHCP option to the same set of clients. I would think that your printer does something similar, so if you add the printer by hostname (which you can probably locate by looking at DHCP leases in your router's web-based admin panel) instead of IP it should always "just work".