A device for conveying a sheet of substrate having two opposed main faces linked b y an edge face, wherein one of the main faces of the sheet of substrate is positioned along a reception plane of the device, the reception plane being close to a vertical plane, including a plurality of lower rollers positioned side by side along a conveying direction, each of them being able to rotate about a lower rotation axis extending perpendicularly to the conveying direction in a conveying plane and being arranged to receive a part of the edge face of the sheet of substrate, a plurality of upper rollers, each of them being arranged to receive one of said main faces of the sheet of substrate and being able to rotate about an upper rotation axis orthogonal to the conveying direction.