The adjournment was granted after a request from the players' lawyer, said Fakhruddin Ibahim, the chairman of the three-member panel sitting in the eastern city of Lahore.
"We have made some progress," added Ibrahim, a former high court judge.
"It is not in my hands to set a deadline but a decision in accordance with the law and regulations will be made as early as possible."
Akhtar, 31, was banned for two years on November 1 and his new ball partner Asif, 24, for one year after both tested positive for the banned steroid nandrolone last month.
Meanwhile British sports lawyer Mark Gay -- who represented Pakistan captain Inzamam-ul-Haq at a disciplinary hearing after the Oval Test fiasco earlier this year -- is helping the committee, Ibrahim said.
"Mr Gay is assisting us on behalf of the Pakistan Cricket Board (PCB) because we need some legal assistance," said Ibrahim.
He insisted that the appeal committee remains independent of the PCB. The other members of the committee are former Test off-spinner Haseeb Ehsan and doping expert doctor Danish Zaheer.
Gay also helped former Pakistani cricketer Salim Malik clear himself of match-fixing allegations in 1995. However Malik was banned for life after a judicial enquiry found enough evidence against him in 2000.