Following an inspiration from perimeter model calculations, a quasi-spherical model is applied for the estimation of the charge transfer (CT) integrals in the rotationally disordered high-temperature FCC phase of crystalline fullerene. Based on the LCAO representation of fullerene π-orbitals, the leading terms in the exchange hybrid integrals are identified, approximated and averaged over molecular orientations. The orientational averaging is facilitated by introducing a spherical analogue of π-type Clementi orbitals. ‘Effective’ values of the integrals, implicitly accounting for orbital degeneracy, are evaluated. For the (½, ½, 0) nearest neighbours the integrals compare favourably with previous estimates; the approach provides an easy way to calculate them for other crystallographic positions.