BB Dor was observed during its low state in 2009. Signatures of both binary components are revealed in the average optical spectrum; no signature of accretion is observed. Narrow emission lines of Hα, He i and Na D, as well as TiO absorption troughs, trace the motion of the irradiated secondary star. We detect two additional components in the Hα emission line that share many characteristics of similar ‘satellite’ lines observed in the low state of magnetic cataclysmic variables of AM Her type. It is the first time such emission components are detected for an SW Sex star.