Heat the oil in a large dutch oven over medium heat.
Add the onions and garlic and cook, stirring, until translucent, about 5 minutes.
Add the rice and stir quickly until well-coated and opaque, about 1 minute.
Stir in the wine and cook until nearly all evaporated.
Add 1 cup of the warm chicken broth and cook, stirring, until the rice has absorbed the liquid. Add the remaining broth, 1/2 cup at a time. Continue to cook and stir, allowing the rice to absorb each addition of broth before adding more.