It is well known that the coherence vortices are robust against atmospheric turbulence and can be effectively utilized for communication and imaging applications. In this paper, we study, both theoretically and experimentally, the generation of coherence vortices by the cross-correlation between two scattered optical vortices with different topological orders and how the orders of the input fields affect the size of the generated coherence vortices. We have analyzed the size by considering the coherence vortex at a given plane as a ring with inner and outer radii. The inner and outer radii vary linearly with order and the propagation distance. The slope of radius vs. propagation distance is considered as the divergence by which one will be able to find the order. All the theoretical predictions have been validated with the experimental results. It is also observed that the propagation characteristics are similar to the coherent optical vortices.