Reading chairman John Madejski has pleaded with fans to return as they struggle to kickstart their season.
"It would help immensely if they are cheered on by a capacity crowd here.
"The club has always been conscious of the need to attract new fans as well as welcoming back long-term fans. Hopefully this offer will help."
Fans' spokesman Jon Keen said: "Many people think they've no chance of getting a ticket. It's good the club are trying to attract back casual fans."