No problem.
I think Sims uses both the CPU and GPU. CPU has to compute all the stuff the sims are doing in the world and rendering all those things on the map is fairly GPU intensive. I think video memory is also a factor. Ultimately I don't think the game is coded all that well. Considering how old the game is I'm amazed what hardware it takes to run the game on high settings.
I think the tough part is going to be getting the game maxed out. As I mentioned above I think it takes a lot to do that. At the sametime I don't think it takes much to get the game going on low settings and I'd guess that an HD 7750 1 GB could get you at medium settings just fine.