These replies suggest we shouldn't expect anything soon, but there is at least some possibility in the future.
For the past few months there has been much talk of the introduction of cross-platform play. Microsoft has enabled cross-network play between PC and Xbox, and is inviting other networks to participate too.
The first game to go cross-platform between Xbox One and PC was Rocket League.
Matt Porter is a freelance writer based in London. Make sure to visit what he thinks is the best website in the world, but is actually just his Twitter page.