The scroll compressor comprises a fixed scroll element comprising a fixed end plate (13) and a fixed spiral wrap (14); an orbiting scroll element comprising an orbiting end plate and an orbiting spiral wrap (16), the fixed and orbiting spiral wraps (14, 16) being intermeshed with each other to define pairs of compression pockets, a radial inner pair of compression pockets comprising a direct pocket (17.1) and an indirect pocket (17.2); a central main discharge port (18) formed in the fixed end plate (13) and configured to communicate the direct pocket (17.1) with a discharge pressure volume; and an auxiliary discharge port (26) formed in the fixed end plate (13) at a position close to an outer wall side (14.2) of the fixed spiral wrap (14) and adjacent the inner end (14.4) of the fixed spiral wrap (14). The auxiliary discharge port (26), during orbiting movement of the orbiting scroll element (12), is at least partially uncovered by the orbiting spiral wrap (16) to communicate the indirect pocket (17.2) with the discharge pressure volume.