He has sought relaxation of the condition according to which he should seek prior permission of the court if he has to travel out of Bangalore.
The petition filed yesterday is yet to be listed.
The Supreme Court had on May 11 directed CBI to conduct a probe against Yeddurappa for "serious illegalities" in mining activities in which he allegedly misused his public office for monetary benefits by extending favours to mining barons and corporates.
The Karnataka High Court had on June 21 granted conditional anticipatory bail to Yeddyurappa in the case holding that the allegations in the CBI FIR are "not something new".
