A tunneling experiment is proposed to verify the recently predicted band structure in the excitation spectrum of the laminar intermediate state. The theory shows that the energy bands are reflected by rapid oscillations of the differential tunneling conductance for small voltages of the order of the maximum value of the pair potential. In weak magnetic fields ($H\ensuremath{\approx}0. 1{H}_{c}$) which produce normal regions of some ${10}^{\ensuremath{-}2}$ cm, the distance between two oscillation peaks is of the order of ${10}^{\ensuremath{-}5}$ to ${10}^{\ensuremath{-}6}$ V.