Abstract: A weaving machine (1) equipped with a level adjustment device (8) for a plurality of oscillating levers (26), the oscillating levers being provided with cam followers (42) and mounted on a shaft (28) of the levers, the shaft of the levers being movable between a weaving configuration, where the cam followers of the oscillating levers bear against cams (18) of the shedding mechanism, and a level adjustment configuration, where the cam followers of the oscillating levers are separated from the cams of the shedding mechanism. The level adjustment device comprises a level adjustment picking cam member secured to the shaft of the levers.