Panel for forming a covering, more particularly a floor panel for forming a floor covering; wherein this panel comprises a substrate of a material on the basis of soft PVC; wherein this panel is rectangular, either oblong or square, and thus comprises a first pair of opposite edges (2-3) and a second pair of opposite edges (4-5); wherein both pairs of opposite edges (2-3, 4-5) comprise coupling parts (6-7, 8-9) allowing to mutually couple a plurality of such panels to each other; wherein these coupling parts (6-7, 8-9) at both pairs of edges (2-3, 4-5) form a first locking system which effects a locking in the plane of the panels and perpendicular to the respective edges, as well as form a second locking system which effects a locking perpendicular to the plane of the panels; and wherein these coupling parts (6-7, 8-9) substantially are realized from said substrate; wherein the coupling parts at the first pair of opposite edges (2-3) are configured such that two of such panels can be coupled to each other at these edges by means of a turning movement; and that the coupling parts (8-9) at the second pair of opposite edges (4-5) are configured such that two of such floor panels can be coupled to each other by means of a downward movement of one panel in respect to the other, more particularly by means of the downward movement obtained as a result of the turning movement at the first pair of edges; wherein the first locking system at the second pair of opposite edges (4-5) is formed at least of an upwardly directed lower hook-shaped portion which is situated at one of said two edges , as well as of a downwardly directed upper hook-shaped portion which is situated at the opposite edge ; wherein the lower hook-shaped portion consists of a lip with an upwardly directed locking element , whereas the upper hook-shaped portion consists of a lip with a downwardly directed locking element ; wherein in said substrate , a reinforcement layer is present, which extends in the plane of the panel ; characterized in that both of said lips (20-23) are configured such that, seen in cross-section, they are at least over a certain portion (G1-G2) free from said reinforcement layer so that the reinforcement layer cannot affect the bendability in these portions in a disadvantageous manner. wherein the first locking system at the second pair of opposite edges (4-5) is formed at least of an upwardly directed lower hook-shaped portion which is situated at one of said two edges , as well as of a downwardly directed upper hook-shaped portion which is situated at the opposite edge ; wherein the lower hook-shaped portion consists of a lip with an upwardly directed locking element , whereas the upper hook-shaped portion consists of a lip with a downwardly directed locking element ; wherein in said substrate , a reinforcement layer is present, which extends in the plane of the panel ; characterized in that both of said lips (20-23) are configured such that, seen in cross-section, they are at least over a certain portion (G1-G2) free from said reinforcement layer so that the reinforcement layer cannot affect the bendability in these portions in a disadvantageous manner. <EOS>