In order to estimate octupole-induced E1 strength in very deformed nuc
lei we calculate their intrinsic dipole moments within the shell corre
ction method. We use the formula for the macroscopic part of the dipol
e moment derived by Dorso, Myers, and Swiatecki, however, without appr
oximation limiting its validity to small deformations. We obtain rathe
r large dipole moments in superdeformed Hg and Pb nuclei, in agreement
with recent Hartree-Fock calculations. This points to the possibility
that in these nuclei interband E1 transitions may be detectable in sp
ite of enormous competition of superdeformed intraband E2 transitions.
We give also estimates for dipole moments of even more deformed syste
ms.