Hull City chairman Assem Allam will refund season ticket holders who wish to return their tickets in protest at the club's proposed name change.
Allam wants to rebrand the club Hull Tigers, and has faced staunch criticism from some supporters.
A statement from the club read: "Dr Allam has made this offer in light of the confusion that followed the recent meeting with supporters' groups and the fragmented messages that have emanated since that meeting."
"That meeting closed with one of the representatives requesting the opportunity to develop alternative commercial models and nothing has yet been presented to the club."
"He is also keen that the majority of fans are able to focus on enjoying the quality of Premier League football at the KC Stadium, without being diverted onto minority interests."
Steve Bruce's side are 12th in the table, having won promotion back to the top flight last season. But with the KC Stadium being owned by the local council, Allam believes the rebranding is the club's best way to find commercial revenue, as selling the stadium naming rights, which several clubs have already done this season, is not for the club to sell.