In this talk, we will show that the uniform L⁴-bound of the transverse Ricci curvature along the Sasaki-Ricci flow on a compact quasi-regular transverse Fano Sasakian (2n+1)-manifold M. Then we are able to study the structure of the limit space. As consequences, when M is of dimension five and the space of leaves of the characteristic foliation is of type I, any solution of the Sasaki-Ricci flow converges in the Cheeger-Gromov sense to the unique singular orbifold Sasaki-Ricci soliton. This is a joint work with professors Shu-Cheng Chang, Chien Lin and Chin-Tung Wu.