Nobody makes a can that will slide over that barrel. You are SOL.
Numerous problems with that possible design limit the can's effectiveness (ie 'slipover' = gasses start venting at the muzzle, and if the can slides over the barrel, you would have to direct the gas rearwards, giving up the vast majority of your sound silencing effect.).
You *might* get lucky and find someone who will permanently attach a can to a standard barrel (10"), but good luck with that. Also if you go this route, be sure to use a SEMI barrel in your SEMI Uzi.
Also your original post was really vague- just because you post it on Uzitalk doesn't mean everybody is thinking you're putting it on an Uzi. You did post it in the suppressor section and didn't specify anything other than slipping it over a 16" barrel (lots of guns have 16" barrels).