A sheet-conveying device includes first, second, and third rotary members, and a switching unit. The first rotary member rotates in one direction to convey, with the second rotary member, a sheet in a first direction and to convey, with the third rotary member, the sheet in a second direction. The switching unit switch from a first to a second state by moving the first rotary member before a trailing end of the first direction conveyed sheet passes through the first and second rotary members. The first state is a state where the second rotary member contacts a first surface of the sheet and the first rotary member contacts a second surface of the sheet. The second state is a state where the first rotary member contacts with the first surface of the sheet and the third rotary member contacts the second surface of the sheet.