Shouldn’t be an issue, Asobo have said that the VR is compatible with all headsets.
One thing you will probably need to do in the Oculus software is go to the settings and allow unknown sources (I think that’s what it’s called) which will allow the headset to see games not bought from the Oculus store and so not played from your Oculus library.
I’m no longer using Oculus, have a Reverb, but that’s what I had to do when I did have a Rift and played Elite through it. I’m assuming the software and settings are the same or similar to what they were when I had the Rift.