Masking is one of the major countermeasures against side-channel attacks to cryptographic modules. Nassar et al. recently proposed a highly efficient masking method, called Rotating S-boxes Masking (RSM), which can be applied to a block cipher based on Substitution-Permutation Network. It arranges multiple masked S-boxes in parallel, which are rotated in each round. This rotation requires remasking process for each round to adjust current masks to those of the S-boxes. In this paper, we propose a method for reducing the complexity of RSM further by omitting the remasking process when the linear diffusion layer of the encryption algorithm has a certain algebraic property. Our method can be applied to AES with a reduced complexity from RSM, while keeping the equivalent security level.