There are currently no known conflicts between Connections and Divi. Divi is actually installed right now on my test/dev site.
Perhaps you could explain in more detail the issue you are experiencing so I can see if I can replicate the issue. Please give detailed step by step instructions.
My first suggestion is to make sure you have updated WordPress, Divi and Connections to the most recent versions and verify that the issue persists. If you have the most current versions installed, it could actually be conflict with another plugin so I would advise doing the plugin conflict check.
Let me know what you learn.