Being OHCI, you host would support full speed only. (As Jan mentiones, OHCI, and EHCI apply to hosts not devices.) Any high speed device should also support full speed. A device which wants to be high speed doesn't have to function at full speed, but its supposed to at least enumerate and tell you it has no function. I can't think of any high speed capable devices which don't actually have some function at full speed.
So basically you shouldn't have any problem, except things will be slow.