Neutrinoless double beta decay is a hypothetical nuclear process actively developed both on theoretical and experimental grounds. In the present paper we extend the idea discussed in Ref. [1], where a new channel of this decay has been proposed. In this scenario neutrinos not only oscillate inside the nucleus but also interact with an external non-uniform magnetic field. We assume that the field rotates about the direction of motion of the neutrino and show, that for a certain rotation speed the half-life of the 0ν2β decay can be significantly shortened. While the presentation in [1] was limited to a simplified two-neutrino case, in this work we investigate the realistic three-neutrino case and perform a detailed numerical study of this process.