Reduction of oxides by carbon
If the conditions of the reaction (depending on temperature, pressure and any other gases present) are such that you are producing $\ce{CO2}$, then $\ce{CuO}$ should readily oxidize any $\ce{CO}$ that gets produced all the way to $\ce{CO2}$.  

The main reaction should be as you said:  

$$\ce{2CuO + C -&gt; 2Cu + CO2}$$  

and if you have any formation of $\ce{CO}$, it will be oxidized as:  

$$\ce{CuO + CO -&gt; Cu + CO2}$$