"We've talked to everyone. There's a lot of people right now interested in the VR space. And we've said many times that we're interested in bringing the Rift to as many consoles or platforms as possible. Ultimately, we haven't announced any sort of partnerships to date. But it's something we're always exploring."
The interviewer said he would enjoy being able to use an Oculus Rift headset on his PS4, to which Mitchell replied, "Anything is possible." Of course, Sony already has its own PS4 virtual reality headset, Project Morpheus, while Microsoft has its HoloLens AR/VR tech.
Oculus Rift, when it launches publicly in the first quarter of 2016, will require a somewhat beefy PC rig. So the appeal of Oculus Rift working with a game console like a PS4 or Xbox One is that you'd already have the required hardware. Mitchell said Oculus will have more announcements to make in the lead-up to E3, one of which will be the technical specifications your PC will need to support Oculus Rift.
"You're going to want a nice gaming rig," he said. "We're not talking about a high-end, crazy computer, but something that would run modern games well today."
http://www.gamespot.com/articles/oculus-rift-for-xbox-one-or-ps4-anything-is-possib/1100-6427135/