Surly rim strip on KH rim / width of rim strip?

Will a Surly rim strip on KH rim? The original KH rim strip (29") is 40mm wide. The Surly rim strips are 38mm wide. Will they fit the KH rim? Or are they to narrow to prevent the edges from flipping out of the holes? What is the minimum width for the rim strip on KH rims?

Yes, I got this 38mm surly for my KH 26: