The scattering of zero-sound phonous by incoherent spin fluctuations (SF) and its influence on the velocity dispersion and attenuation of zero sound in exchange enhanced Fermi-liquid are considered. The contributions of long-wavelength and low-frequency SF to zero-sound velocity and attenuation for the case of ωτ ≫ 1 (where co is a frequency of sound, T is a relaxation time) are calculated. The values of these contributions were compared both with the collision dispersion terms and the terms due to the quantum effects. It is shown that at T → 0 the SF and "quantum" terms in velocity dispersion have the different frequency dependencies and opposite signs and a certain compensation of quantum dispersion effects due to the influence of the SF may appear. The SF contribution may be interpreted in terms of an "effective" renormalization of relaxation time τ and can manifest itself in the more appreciable frequency dependence of the temperature of transition from first to zero sound.