The summer signing from Ipswich was sent off for two bookable offences in Tuesday's Carling Cup victory at Brentford and will serve a one-game ban.
Boss Gary Johnson is short of options in attack and is likely to play David Clarkson as a striker alongside Nicky Maynard as a result of Haynes' absence.
Johnson could at least breathe a sigh of relief that Clarkson, Jamie McAllister, Paul Hartley and Lewin Nyatanga all returned from international duty without picking up any injuries.
All four should return to the starting line-up to face the Eagles as City look to build on the point they picked up at Preston on the opening day.
Freddie Sears and Nick Carle return to the Crystal Palace squad for the trip.
On-loan West Ham striker Sears missed the midweek Carling Cup win over Torquay as he was on international duty with the England Under-21 side, while midfielder Carle played in Australia's win over the Republic of Ireland.
The Eagles are still without summer recruit Stern John, who suffered a nasty elbow injury just half an hour into his debut against Plymouth on the opening day of the season.
Midfielder Darren Ambrose is playing through the pain of a shoulder injury and should figure again after his two goals on Tuesday night.
Youngster Nathanial Clyne was rested in midweek and will challenge Danny Butterfield for the right-back slot.