Ahhhhh, that is an entirely different problem. other than a new petcock, the only other solution I can think of is to make sure the float valve in the carburetor is working properly so that the drip will not make it into the carb float bowl. Other than that, a new petcock is your only option.
I once tried to dismatle a leaking petcock, but was informed by Kevin that it was a losing battle and I should just replace the petcock.