  Let $r>\frac{4}{3}$ and let $\Omega \in L^{r}(\mathbb{S}^{2n-1})$ have
vanishing integral. We show that the bilinear rough singular integral
$$T_{\Omega}(f,g)(x)= \textrm{p.v.}
\int_{\mathbb{R}^n}\int_{\mathbb{R}^n}\frac{\Omega((y,z)/|(y,z)|)}{|(y,z)|^{2n}}f(x-y)g(x-z)\,dydz,$$
satisfies a sparse bound by $(p,p,p)$-averages, where $p$ is bigger than a
certain number explicitly related to $r$ and $n$. As a consequence we deduce
certain quantitative weighted estimates for bilinear homogeneous singular
integrals associated with rough homogeneous kernels.
