Reddit reviews HP J3113A JetDirect 600n Print Server JetDirect Card

Unless you have specific reasons to keep the networks separate, and considering that this problem might come up again in the future: you might consider bonding the two internet connections together and making the combined connection available to a single local network. You would first need a gateway capable of load balancing or WAN bonding. One such gateway would be the Ubiquiti USG which is both highly-rated and very inexpensive (about $100). This device sits at the perimeter of your network, acts as your security firewall and can accept up to two WAN (outbound internet) connections. Unlike other professional solutions, this one requires no annual contract or ongoing license fees. This remarkably inexpensive device can optionally be combined with Ubiquiti's other solutions such as their VOIP phone system, wireless antennas, security cameras, and Cloud Key, to provide a unified high-performance professional solution for your business.

https://www.ubnt.com/unifi-routing/usg/

https://www.amazon.com/Ubiquiti-Unifi-Security-Gateway-USG/dp/B00LV8YZLK/ref=sr_1_1?ie=UTF8&qid=1527712928&sr=8-1&keywords=ubiquiti+usg

As suggested by /u/vigilias, your question suggests an underlying problem with the network that, if possible, might be better corrected by making changes to your network rather than resorting to a work-around. The networking subreddit would be a good resource if you choose to tackle this one on your own. Alternatively, you might consider hiring a local IT consultant to advise you on implementing a solution like the Ubiquiti USG.

Also note that some workgroup laser printers, such as HP LaserJet 42xx/43xx series, have multiple expansion card slots which can accept additional network cards. By adding additional inexpensive cards, it is therefore possible for some LaserJet printers to be available on multiple networks simultaneously.

https://www.amazon.com/HP-J3113A-JetDirect-Print-Server/dp/B0009MAU36