Aleksanyan, who has been accused of embezzlement and money laundering, is suffering from both AIDS and cancer, and will undergo medical treatment in a pre-trial detention center as he was not released from custody.
Lawyers for Aleksanyan have repeatedly asked for hearings on their client's case to be halted and for him to be released from custody and transferred to a medical facility for inpatient treatment.
"Aleksanyan is still being kept at the medical department of a pre-trial detention center, and a decision on his transfer should be made by the doctor," prosecutor Nikolai Vlasov said, adding that the court was not authorized to decide on the matter.
Neither the prosecution nor the defense objected to the suspension of the hearings. However, the prosecution insisted on keeping Aleksanyan in custody while the defense has been insisting on his release.
The court ruled that Aleksanyan must remain in custody as if he is released he may attempt to escape, pressure witnesses, or destroy evidence in the case, despite his lawyers' statements that their client is almost completely blind.
Investigators accuse Aleksanyan of embezzling over 8 billion rubles ($329 million) from Yukos production unit Tomskneft, as well as shares worth over 12 billion rubles ($493 million) from other oil companies, and of laundering stolen assets.
It was not immediately clear if former Yukos chief, Mikhail Khodorkovsky, 44, would call off his nine-day hunger strike in support of Aleksanyan.
Khodorkovsky, once Russia's richest man, declared a hunger strike last week, demanding that Aleksanyan receive medical treatment.
The ex-Yukos chief is currently serving an eight-year prison term for fraud and tax evasion. He has consistently maintained his innocence, calling the accusations politically motivated by his support of the pro-Western opposition.
Once Russia's largest oil producer, Yukos collapsed after claims of tax evasion, which led to the company being broken up and sold off to meet debts. The bulk of its assets were subsequently bought by government-controlled oil company Rosneft.
