It is poly in the sense that everyone has full knowledge and consent. However, it seems to be more focused on the sex side of the equation, so it sounds slightly more like swinging.
Yet, I get the feeling that if you two did do this, that someone may get attached to another person in an emotional way. It is hard to help falling in love. So if you do this, make sure you can handle this if it comes up.
As for jealousy, my guess is that you just need to feel secure in your relationship with her. To combat this, you need to make sure you two are communicating. Be willing to set up some rules and guidelines, but also be willing to renegotiate them as needed.
i wish you luck.