Ok, i know this is a few years late, but I'm in a similar situation (at least i was until today). I'm not sure everyone is on the same page as to what the OP is asking, but at least one response was to address the situation i was in (which i don't think is the same situation as the OP). My situation is
- 3/8" OD soft copper (homemade) chiller
- 3/8" ID vinyl tubing
As one poster stated, you can slip the tubing straight over the copper, but you have to worry about leaks. Also, i'm using a closed system which consists of a cooler full of ice, a submersible garden pump (~300-800 GPH), the tubing and the chiller. The water is recirculated over the ice. You can also let it free run, i.e. dump the chiller output on the driveway, for the first 5-10 min to let most of the heat run off, then put the out flowing water tube back in the cooler to recirculate the rest of the cooling process. Anyhow, I was using 2 zip ties per tube-to-chiller connection as anything less would have a tendency to leak (as a previous post mentions). That got to be a pain in the butt. I wanted to used a barbed fitting so i could use a simple spring clamp (or maybe none at all).
The solution is to use a 1/4" rigid coupler, the type that connects 1/4" rigid copper to 1/4" rigid copper (like to splice a new section in a line). This fits over the 3/8" soft copper like it was meant to do so. Then, this coupler slips nicely into a brass 3/8" ID x 3/8" MIP fitting. Last step is to solder it all together. Both of these pieces are available at most home depots. The pics below show the two pieces. Not shown is the final product with the chiller. When i get it finished, i will try and post those pics as well. And yes, i'm sure this has been figured out and posted on homebrewtalk previously... i just didn't find it.