depend on which vr system. check their system requirement
GPU isn't a problem. But take oculus for instance, they say i5 4690k is the CPU to get for a good VR experience.
VR games likely require good use of a few threads/cores at the moment. While AMD's good at multi threaded / multi core performance at the price range, single goes in the gutter. Let's also not discount that an FX 6300 is basically an Ivy Bridge i3, made more power hungry.