Baby name too odd?

My husband and I love the name Ozzy Oliver for our son due in July, but I worry that Ozzy sounds too much like a nickname and people won't like it. We don't like ANY of the names that lead to Ozzy as a nickname unfortunately.

Our other name option is Silas Sebastian, but we just don't love it nearly as much.

Older children are Cade and Effie.

*Edited to add: I've spent hours upon hours looking for names that lead to the nickname Ozzy so I've seen them all. Unfortunately we just don't like any of them.