They're in the process of doubling the number of nuclear reactors under operation but they take a long time to come online and China's electricity demand keeps increasing so it'll probably be a wash.
Also I remember a report on projected grow they made stating the uranium production capacity would not be able to sustain their growth and the need to invest in new reactor design limiting the construction of current gen reactors to avoid outstripping the production chain.
There is no real bottleneck in uranium production. All we need to do is to double the price and various extra production will come online. And the price of uranium means almost nothing in he context of running a power plant.
I wonder whether coal plants could be quickly converted to oil plants. Oil is cheap right now, and probably less bad wrt to particle pollution.