In the high-luminosity Electron Ion Collider (eRHIC) proposal the number of ion bunches will be increased and the bunch spacing will be reduced from current 107 ns (RHIC) to 10.1 ns. This beam timing structure is expected to be a challenge for the elastic events identification in the RHIC CNI (Coulomb Nuclear Interference) polarimeters and, thus, require an upgrade of the polarimeters. It this paper, we discuss possible solutions of the problem for the Polarized Atomic Hydrogen Gas Jet Target designed to measure absolute average proton beam polarization at RHIC.