Help me find a solution - shift patterns?

My partner and I do the same job in which we follow a shift pattern of 5 weeks which includes days and night shifts.

There are 5 teams. Team 4 takes over from Team 5, Team 3 takes over from team 4, Team 2 takes over from Team 3... And so on.

I am on Team 2, and he is on Team 5. Therefore we have COMPLETE opposite shifts. On his days off, I'm working. We don't share a single day off, and an added bonus is that we are sometimes on completely different sleep schedules !

To move on with life, we need to be on the same team (but we do not work in the same place). Either one of us moves, or we both move to the same team (eg. Team 3). However, I feel like he is reluctant to move teams sometimes, and this makes me sad because I would do it for him in a heartbeat. I have even suggested changing areas to be on the same team which is an even bigger move. And because I feel like I am putting in all the effort in to trying to move teams, it puts me off my efforts when he doesn't make any. We are both very attached to our teams so moving is a difficult decision.

How do we get around this? Is there a solution?