League Two Bradford have asked the city council to put celebrations marking their historic Capital One Cup run on hold until the end of the season.
Phil Parkinson's side were beaten 5-0 by Swansea in Sunday's final after becoming the first club from the fourth tier to reach a major final at Wembley.
"Any celebration is on hold at the moment at the club's request until they've got the next challenge out of the way," Councillor Smith said.
"They've got two very important league matches coming up this week and we think we're going to hold it, with the club's agreement, at the end of the season so that Phil and his side can concentrate on the league.
"There are plans afoot. The city will expect a celebration certainly. What the club have achieved throughout the season has been nothing short of sensational and the council will extend a full civic celebration.
"They have had some amazing results in the Capital One Cup and while the fans were disappointed at the outcome, Swansea are clearly a very talented Premier League side and played better than us on the day.
"But the spirit of Bradford's fans was a real feature. The bigger the challenge became, the more they cheered and waved their flags. I was proud to be among them. It was wonderful.
"I would expect an open-top bus parade would be a fitting way to mark their incredible achievements. We're just waiting for the season to end, hopefully on a high, and for the sunshine to come and we'll start waving those flags again."