We show experimentally and theoretically that the heliconical fluctuations that develop in a cholesteric phase (Ch) close to a transition to a chiral twist-bend nematic phase (NTB) may lead to the appearance of a compensation point. At this point, the equilibrium twist of the cholesteric phase vanishes and changes sign. Mixtures of the flexible dimer CB7CB and the rod-like molecules 8CB or 5CB, doped with a small amount of the chiral molecules R811, S2011, CC or CB15, are used in experiments to determine the conditions for the appearance of a compensation point.