As rockacola explained, the Sigma lens will be able to focus on your system.
In your question you also wanted to know how the Sigma lens performed compared with the Nikon counterpart.
First let me state that I'm not an expert photographer, and I do not possess either of the stated lenses, but I can tell you that the two lenses should perform in a very similar fashion when your using it fully zoomed in as they will both let in the same ammount of light. The difference between those two lenses resides in the fact that the Nikon will let in more light when use fully zoomed out (F5.6) compared to the Sigma (F6.3). So in theory the Nikon lens would perform better in situations when there is less light, perhaps interior photography.
Hope this helps!