If it does, raise the float a bit. If that doesn't do it, open up the main jet a bit. Check for the obvious, like a leaking gasket on a carb extender tube.
I worked on a car that had all kinds of die off's etc. Determined it was running lean and needed a carb kit. Owner said it just had one put in. I ordered the kit and he watched me like a hawk while I worked on it. When I went to pull the jets out he said that wasn't necessary, the last guy didn't do it. I said, well I have the gasket for it, so lets pull it out and look it over. Under that main jet was a curl of brass that had been there since factory, through several "overhauls" of the carb. It indeed was the trouble all along.
Moral of the story. Do it right, and leave no corner or orifice unexamined.
hope it helps
John