A buddy of mine had this happen on his CB400T. There are two fixes that I know of.
SOLUTION #1 - (The one that we used) Find a used set of carbs on ebay that have good tubes and simply use those bowls to fix the problem.
SOLUTION #2 - Get some plastic or rubber tubing, that will hold up to gas, that just barely fits over the overflow tube. Find some kind of sealant that also works with Gas (I have a tube of some stuff in my garage that I have used in the past with sucess. Any auto parts shop should have something in stock). Coat the outside of the overflow tube with the sealant (lightly, but enough) and slide the plastic (or rubber) tubing (once cut to length) down over the overflow tube. Let dry, reassemble, test, ride, enjoy, go on with life.
The trick is making sure the cover tube is very snug and the tahe sealant doesn't plug the inside of the overflow. Once the sealant dries, the tube is repaired.
Hope this helps.