As a speaker of fairly standard British English, I would say they are homophones; I tried but couldn't find any natural way in which I could pronounce them differently.
They are identical. I think he was making a distinction between {week, weak} on one hand and {wick} on the other (but I was also initially confused by the way he put it). This is a big hurdle for native Spanish speakers as well, because i in Spanish is always pronounced as "ee". There seem to be a lot of embarrassing word pairs around these vowels; sheet, beach, etc.
