A lighting module (1) for connecting to a luminaire, the lighting module extending along a longitudinal axis (LA) and comprising: a base (3) for connecting the lighting module (1) to a socket (11) of the luminaire (10); a central body (4) carrying at least a first light source (21) and a second light source (22), wherein the first light source (21) is configured to emit first light having a first light distribution with a first main direction pointing away from the longitudinal axis (LA), and the second light source (22) is configured to emit second light having a second light distribution with a second main direction pointing away from the longitudinal axis (LA), the first and second main directions being different from one another; and an optical element (6) including at least one optical portion (61) and a cover portion (62) extending all around the central body (4) and said optical element (6) being rotatable about the longitudinal axis (LA) in relation to the central body (4), the at least one optical portion (61) having an optical property, such that the optical portion (61) is configured to affect light emitted from at least one of the light sources, the at least one optical portion (61) extends in an angular area around the longitudinal axis (LA), and the cover portion (62) is configured not to affect light emitted from the remaining sources.