We derive the leading alpha' corrections to the Kahler potential for the moduli in heterotic (0,2) compactifications. We show that these corrections, together with tree level and non-perturbative superpotentials, can lead to the stabilization of the volume modulus at large values, in the vein of the large volume scenarios for type IIB orientifolds. This is rather nontrivial, since our quantum corrections are of a lower order than those used in the type IIB case.