Convection-dominated accretion flows ( CDAF ) are expected to have a shallower density profile and a higher radiation efficiency as compared to advection-dominated accretion flows ( ADAF ) . Both solutions have been developed to account for the observed properties of the low luminosity , high temperature X-ray sources believed to involve accretion onto massive black holes . Self-similar CDAFs also have steeper poloidal density gradients and temperatures close to the virial temperature . All these characteristics make CDAFs more capable of producing polar outflows driven by Compton heating as compared to other classical accretion disks . We investigate the conditions for producing such outflows in CDAFs and look for the mass accretion rate , or , equally , the luminosity of CDAFs for which such outflows will exist . When the electron temperature saturates around 10 ^ { 11 } { K } at the inner region , polar outflows are probable for 8 \times 10 ^ { -7 } \lesssim L / L _ { E } \lesssim 4 \times 10 ^ { -5 } , where L _ { E } is the Eddington luminosity . Outflows are well collimated with small opening angles . The luminosity range for which outflow solutions exist is narrower for lower electron temperature flows and disappears completely for electron temperature \lesssim 6 \times 10 ^ { 9 } { K } . When the magnetic field is present , we find that outflows are possible if the magnetic field is less than from 10 % to 1 % of the equipartition field . We also find that outflows are more likely to be produced when the viscosity parameter \alpha is small . The tendency for jet-like collimated outflows for these solutions is presumably astrophysically relevant given the high frequency of jets from AGNs .