The quasi-parallel regime of a Darcy-Boussinesq boundary-layer flow over a permeable vertical flat plate adjacent to a fluid saturated porous medium is considered. 'Quasi-parallel' means here a plane flow with a constant transversal velocity nu = -nu(0) directed perpendicularly towards the vertical surface, where a lateral suction with the same velocity -nu(0) is applied. The plate is held at a constant temperature T-w which coincides with the ambient temperature T-infinity of the fluid. The heat released by viscous dissipation induces a density gradient in the fluid. Thus, although T-w = T-infinity, a thermal convection occurs. The steady regime of this 'self-sustaining buoyant flow' has been examined in detail. Wall jet-like profiles with a continuous but finite spectrum of the momentum flow have been found. These self-sustaining buoyant jets show a universal behavior, that is, there exist certain length, velocity and temperature scales such that the flow characteristics become independent of the ( constant) material properties of the fluid and the porous medium as well.