A device for stabilizing sheet guidance in a sheet-processing machine includes a first transport device having first gripper devices for guiding sheets to be processed, and a second transport device having second gripper devices opposing the first gripper devices. The first gripper devices are in cooperation with the opposing second gripper devices, during an operation selected from the group of operations consisting of taking over and transferring the sheets. The opposing second gripper devices are dippable into interspaces formed between the first gripper devices, and at least one supporting element is disposed in the interspaces for supporting leading corners of the sheets, the supporting element being disposed locally fixed on the first transport device. The opposing second gripper devices are disposed in a region of the supporting element and include a forked gripper formed with a cutout into which the supporting element is dippable during transfer of a leading edge of the sheet.