I am on amoxicillin and am scheduled for Botox tomorrow. Will the antibiotics interfere with the Botox outcome?

Botox is not known to interact with any antibiotics, but as mentioned you should make sure the injections are not occurring at the site of the infection.

Antibiotics will not interfere with Botox. However, it is important to make sure that whatever infection you're being treated for will not create issues. The most often encountered problem would be a skin infection in the area of the planned Botox treatment.