"The court needs more time to study the case," court press secretary Anna Usacheva said. "The hearings were therefore postponed until March 29."
Usacheva said Yukos-Moskva deputy manager Alexei Kurtsin, sentenced to 14 years in prison, was to take part in the court session in a video link-up.
Kurtsin's lawyers filed the appeal with the Moscow City Court in December.
"We consider the verdict illegal and unfounded," Yury Larin, an attorney, said.
On December 1, Moscow's Lefortovo court handed down a guilty verdict for all those involved in the Yukos-Moskva case, sentencing eight former managers to different prison terms.
Investigators said Kurtsin and Yukos-Moskva Senior Vice President Mikhail Trushin, who is still at large, laundered 342 million rubles ($11.9 million) through fictitious charities registered in several large Russian cities. Investigators claim the bulk of laundered funds went directly to Trushin and Kurtsin.