The invention relates to a device for bending sheets of glass running between a bed of upper rolls and a bed of lower rolls forming a shaping bed that pinches the sheets as they run, said shaping bed being disposed in a path having a curved profile in the running direction of the sheets of glass, said shaping bed comprising at least one roll of what is known as the rod/sheath type comprising a fixed metal rod preformed in a curved profile lengthwise and a flexible sheath that is able to rotate about said rod, said sheath being rotated about said rod. The roll of the rod/sheath type may comprise a metal rod preformed in a curved profile lengthwise and a flexible sheath that is able to rotate about the rod, said sheath comprising a first envelope made of a polymer material and a second envelope made of a flexible metal material disposed around the first envelope, the first and the second envelope rotating together as one.