A sheet conveying device has a pair of upper discharge rollers including a first discharge roller and a first following roller, a second discharge tray, a corrugation member, and a moving mechanism. The first discharge roller is rotatable in forward and reverse directions. The corrugation member corrugates the sheet by making contact with its sheet face. The moving mechanism moves the corrugation member between a first position, where it makes contact with the sheet face of the sheet, and a second position, where it is located above, away from, the nip portion of the pair of upper discharge rollers. An image forming apparatus incorporates such a sheet conveying device.