Serious question - why does your printer have access to the Internet? This is poor security protocol. Proper security is to drop traffic by default, white list what you need. You never truly know what your devices will try to do. As an example, I installed security cameras outside my home and linked them to a linux based PVR for the interface/recording. I noticed that my firewall was dropping tons of data from the IPs assigned to the cameras. A quick dump of the traffic uncovered all cameras trying to connect out to a pair of IPs hosted on amazonaws. I never asked or gave consent for this to happen. The same thing would go with a printer, I don't want it to have access to the Internet. The only thing I want it to do is to print pages I send to it. It doesn't need to update firmware unless I manually push it, in which case I'd have a pretty damn good reason - which wouldn't include limiting my ink cartridge choices. For reference, here is a data dump from one of those cameras.
master@EdgeRouter:~$ sudo tcpdump -i eth0 host 192.168.1.248
tcpdump: verbose output suppressed, use -v or -vv for full protocol decode
listening on eth0, link-type EN10MB (Ethernet), capture size 65535 bytes
22:13:46.947684 IP 192.168.1.248.58611 > 192.168.1.1.domain: 895+ A? www.nwsvr1.com. (32)
22:13:46.948215 IP 192.168.1.1.domain > 192.168.1.248.58611: 895 1/0/0 A 184.108.40.206 (48)
22:13:46.996373 IP 192.168.1.248.33102 > 220.127.116.11.1900: UDP, length 421
22:13:48.191871 IP 192.168.1.248.14620 > ec2-54-245-98-57.us-west-2.compute.amazonaws.com.32100: UDP, length 4
22:13:48.192026 IP 192.168.1.248.14620 > 18.104.22.168.32100: UDP, length 4
22:13:48.192104 IP 192.168.1.248.14620 > ec2-54-217-201-148.eu-west-1.compute.amazonaws.com.32100: UDP, length 4
Do you want your devices to serve you, or do you want your devices to serve the device maker and their will? It might seem extreme to some but as far as I'm concerned the only sane thing to do is treat *every* device as hostile until you know otherwise, drop all packets with a hardware firewall by default, and only approve the traffic you want to go out.