In a previous paper [J. Plasma Phys.34, 299 (1985)] it was shown that resistivity and thermal conductivity lead to large scale stationary convection in a current‐carrying cylindrical plasma under the action of a shearless magnetic field. It was shown there that convection takes place when (&eegr;/&kgr;)=8&pgr;/3, where &eegr; is the resistivity and &kgr; the thermal conductivity. Convection occurs when either (B&thgr;/Bz) ≫1 or when (B&thgr;/Bz)≪1. In both cases the condition for convection, i.e.,R>Rcrit, whereRis the Rayleigh number, was shown to be the same. From this fact it was then conjectured that convection takes place for anyB&thgr;/Bz. By solving the model in a closed form, it is shown that the conjecture is correct for large azimuthal wavenumbers, but, otherwise, convection takes place only in the limits mentioned above.