The model of a memory cell is proposed, which uses interior vortices in layered superconducting system as information bits. In the memory cell, such vortices represents an interesting storage medium for future Josephson computers. The current state of the vortex driving is investigated. The connection between the material performance and serviceability of this memory cell is established. The results obtained show that the proposed type of vortex memory is more preferred than the one based on the use of a two-dimensional array of single-quantum vortices in a thin-film type-II superconductor.