I need a wheelset that will accommodate 32-35mm tires... 700c.
The set I have measures 11mm from rim to rim (inside measurement)
This may be too small, so I'm looking for something wider.
Any suggestions?

Or, do I need a wider set at all?
Sheldon was unclear on this point.

Thanks in advance!

Edit: I remeasured the inner rim distance with proper calipers. It measures 13mm