In this research, the performance evaluation of methane (CH4) steam reforming in Wall Steam-methane Reformer (WCR), intended to supply hydrogen (H-2) to SOFC, is investigated using homemade code based on 2D numerical modeling. Focus is on the design of the catalyst coating on the walls of reactor. Various designs of nickel-based catalyst coating were closely examined and compared purporting to understand their effect on the WCR efficiency. The WCR designs operate at similar industrial operating conditions and with the same catalyst density. The computations were discussed with respect to the possible improvement on WCR efficiency. Comparing to the worst catalyst design found, the CH4 conversion rate improving is estimated to 31%, which corresponds to 95.8% more in H-2 production. The obtained results are of practical importance for the design of the catalyst coating and saving fuel energy.