From my notes, I measured the fork tube inner dia as 36.2mm approximately (I think my calipers didn't reach past the thread in the top, so it was only approximate).
The R1 springs in mine are 35.8-35.9mm OD and only just fit. I think springs increase in diameter slightly when they're compressed, so I was a bit worried they might be too tight a fit, but they seem fine.
You'd have to try the 36mm springs to see if they fit, it sounds like it'd be close.