We report on the first measurements of the polarization dependence of the specific heat of liquid 3He. Transient polarizations m of up to 70% were reached by using the rapid melting technique. The specific heat at 60-100 mK and 27 bars is found to decrease approximately as m(2), the reduction reaching at least 30% for m = 70%. These results contradict the nearly localized picture of 3He, and are in agreement with the idea that a large part of the specific heat is due to spin fluctuations.