The invention relates to an agricultural machine (1) for harvesting plants, comprising essentially a supporting structure (2), a mowing unit (3) and a frame (4) connecting the supporting structure (2) and the mowing unit (3) in an articulated manner in such a way as to be able to move the mowing unit (3) between working and transport configurations, said machine (1) also comprising a conveyor (5). The conveyor (5) is connected to the frame (4) by a connection structure (7) allowing, at least when said mowing unit (3) is in its working configuration, a lateral movement of the conveyor (5) directed substantially transversely to the advancing direction (A), at least between an inner position and an outer position, the connecting structure (7) also comprising a tilting device (19) for transferring the conveyor (5) by pivoting about a substantially horizontal axis of retraction (AE), between a lowered position in which a working surface of the mobile body (6) is substantially horizontal or has a slight forwards incline, and a pulled-up position in which the conveyor (5) is at a distance from the ground. Said agricultural machine (1) is characterised in that the connecting structure (7) comprises a different articulated first limb and second limb which respectively comprise a first and a second lever arm, each lever arm being connected to the conveyor (5) in an articulated manner by means of at least one ball joint connection.La présente invention a pour objet une machine agricole (1) pour la récolte de végétaux comprenant essentiellement une structure de support (2), un groupe de fauche (3) et un bâti (4) reliant de manière articulée la structure de support (2) et le groupe de fauche (3) de manière à pouvoir déplacer ledit groupe de fauche (3) entre des configurations de travail et de transport, ladite machine (1) comprenant également un convoyeur (5). Le convoyeur (5) est relié au bâti (4) par une structure de liaison (7) autorisant, au moins lorsque ledit groupe de fau
