How to crease the edges generated by the Bevel modifer

Sub-d level = 0, Bevel segment = 1

Sub-d level = 1, Bevel segment = 1

I bevel the selected edge (see above) using the Bevel modifier. I don’t want the edges between the faces generated by the Bevel modifier to be smoothed out by the Sub-d modifier, is there a way to do this non-destructively?

There is not.

Thanks for the clarification.