In the spinning word, I don't know, but my shoes (Sidi Genius 5) would not accept the two-bolt SPD cleats so I had to get an adaptor if I wanted to use them for spinning. I looked at the OP's shoes on line. The description I found mentions only that they take SPD-SL cleats. If that's the case, and the problem is that the spinning pedals only work with SPD cleats, an adaptor will be necessary. The adaptor attaches to the three-bolt holes of SPD-SL shoes and has the two-bolt SPD pattern for attaching SPD pedals to the adaptor.


Here is one example:


Shimano SPD Adapter