We show that the removal of angular momentum is possible in the presence of large scale magnetic stresses in geometrically thick , advective , sub-Keplerian accretion flows around black holes in steady-state , in the complete absence of \alpha -viscosity . The efficiency of such an angular momentum transfer could be equivalent to that of \alpha -viscosity with \alpha = 0.01 - 0.08 . Nevertheless , required field is well below its equipartition value , leading to a magnetically stable disk flow . This is essentially important in order to describe the hard spectral state of the sources , when the flow is non/sub-Keplerian . We show in our simpler 1.5-dimensional , vertically averaged disk model that larger the vertical-gradient of azimuthal component of magnetic field , stronger the rate of angular momentum transfer is , which in turn may lead to a faster rate of outflowing matter . Finding efficient angular momentum transfer , in black hole disks , via magnetic stresses alone is very interesting , when the generic origin of \alpha -viscosity is still being explored .