The WPBSA made the decision to suspend Lee on October 12, before Robert Englehart QC was appointed by Sport Resolutions UK to consider the appeal.
Englehart decided to dismiss it entirely.
The suspension will subsequently remain in place until either the conclusion of the investigation or any resultant hearings, but the first part of his latest appeal was dismissed by the WPBSA.
"The Appeals Committee have considered the evidence and submissions made by all parties in the first part of Stephen Lee’s appeal against his conviction for match-fixing. Today they have delivered their decision and they have dismissed this aspect of his appeal," said the WPBSA in a statement.
"A new date will be set to hear the remainder of his appeal."
Lee's representatives had questioned the independence of original tribunal chairman Adam Lewis QC, but this was dismissed.
Lee continues to protest his innocence after three groups of gamblers collected almost £100,000 from betting on matches involving the Trowbridge player.
The WPBSA have already claimed the allegations against Lee were the "worst case of corruption" in snooker history.