A method and system for preventing cross-talk during reproduction of data recorded on a high density recording medium. The method includes the steps of receiving signals from at least three consecutively parallel information tracks on a recording medium, determining first and second cross-talk coefficients representing a degree of cross-talk between the three parallel information tracks, filtering the first and second cross-talk coefficients, correcting the cross-talk between the first, second, and third information tracks in accordance with the first and second cross-talk coefficients, forming a difference between the first and second cross-talk coefficients and integrating this difference to generate a track following correction signal, and repeating the above steps for each of the information tracks on the recording medium.