In an application to Special Judge Sangita Dhingra Sehgal, Singh said he has been undergoing treatment at Singapore's Mount Elizabeth Hospital following his kidney transplant and he needs to go there for regular check-up.
The court has issued notice to Delhi police for November 3 for its response on Singh's plea.
Singh, who was undergoing treatment under judicial custody at All India Institute of Medical Sciences (AIIMS), was granted bail by the Delhi High Court on October 24 on "humanitarian grounds" in view of his "critical" condition. He was, however, discharged from the AIIMS on October 30.
The high court, while granting bail to Singh, had said that he would not leave the country without prior permission of the lower court.
Singh, 55, was admitted to the AIIMS on September 12 after his health condition deteriorated in Tihar Jail following his arrest in the case on September 6.
Singh has been booked under the Prevention of Corruption Act and the IPC for his alleged role in the cash-for-vote scam.
Sudheendra Kulkarni, former aide of BJP leader L K Advani, former BJP MPs Faggan Singh Kulaste and Mahabir Singh Bhagora, co-accused Suhail Hindustani and Sanjeev Saxena are presently in jail in connection with the case.