A transport device includes a rotating body including a recessed portion on an outer surface, a rotatable heat unit that is in contact with the outer surface of the rotating body and forms an interposition region in which a recording medium is interposed between the heat unit and the rotating body, a transport unit that: (i) includes a hold member capable of holding a portion of the recording medium near a leading edge, (ii) transports the recording medium by moving the hold member in a rotational direction of the rotating body with the hold member contained in the recessed portion, and (iii) causes the hold member to pass through the interposition region, and a controller that controls rotation of the rotating body such that the recessed portion stops at a position upstream or downstream of the interposition region in the rotational direction when an anomaly is detected.