11mm rings on 3/8 rail?

Like B said, most scope mounts are designed to do both. That's accomplished with reversible clamping plates. You can flip them upside down for either 11mm dovetails or 3/8" dovetails. The tooth on one side has a 45 degree angle. The other side is a shallower angle...that one is 60 degrees. The 45 is for a 3/8” rail. The 60 is for an 11mm rail.

Having said that, it doesn't actually matter if you use 3/8" mounts on an 11mm rail (or 11mm mounts on a 3/8" rail) so long as you have the scope oriented properly to the bore. That is, rotate the scope in the rings until the reticle intersects with the bore. That takes care of eliminating any possible scope cant. From there, you prevent gun cant by holding the gun so the reticle is in line with gravity...usually by mounting a spirit level on the scope tube.
 
3/8”= 9.53mm

shouldn’t have any problems. I’ve never had.

For what it's worth, a 3/8" rail is actually slightly larger than an 11mm rail. The former is dimensioned to the inside edge whereas the latter which is dimensioned to the outside edge.

If you put calipers across a 3/8" rail, it will usually measure somewhere between 12 - 13mm.
 
The best solution would be to use vertically split scope rings or something like BKL. BKL is expensive where i live though. The typical scope mounts with just one clamp on the side cause a little axis offset or cant in the scope, it sits that 1-1,5mm off center or more if it become angled. 1-1,5mm is not that much of a problem, but it still kinda sucks that you have to change windage when changing shooting distance...