[Q] Switch back and forth between VZW and AT&T sim topic

Currently I have a Nexus 6 which I cut my sim and have working on the VZW network.
I also have a company phone (S4) on the AT&T network. (I would also cut this sim and us an adaptor)
While traveling out of the states there are times when I would like to put my work sim in my N6. (Never pay for international data on my VZW plan)
Will I have any problems going back and forth between the two carriers?

Thanks