We analyse the perturbative contributions from the higher-helicity ( lambda ₁+ lambda ₁=+or-1) components, which should be naturally contained in the light-cone wavefunction for the pion as a consequence of the Wigner rotation, in the QCD calculation of the pion form factor. It is pointed out that the contributions may provide the other fraction needed to fit the pion form-factor data besides the perturbative contributions from the ordinary helicity components evaluated using the factorization formula with the asymptotic form of the distribution amplitude. We suggest a way to test the higher-helicity-state contributions.