Vanzara was granted bail in the 2004 Ishrat Jahan fake encounter case on February 3 this year under a condition that he would not enter Gujarat.
Special CBI court Judge K R Upadhyay is likely to hear Vanzara's plea seeking the modification in his bail condition on March 17.
In his plea before the CBI court, the former IPS official demanded that he should be allowed to reside in Gujarat because his entire family lived here and his medical treatment is being done in the state.
The CBI court had said in the bail order that Vanzara is barred from entering Gujarat. He has also been directed to mark his presence before that court on every working Saturday.
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Vanzara, who remained behind the bars for around seven and half years, is also barred from leaving the country.
Vanzara came out of Sabarmati Jail on February 18.
Vanzara was arrested on April 24, 2007, by CID Crime Branch in connection with the 2005 Sohrabuddin Sheikh fake encounter killing case and ever since, he has been behind the bars.