Conn. Gen. Stat. § 54-172: Allowance and conditions of bail bond.

Unless the offense with which the prisoner is charged is shown to be an offense punishable by death or life imprisonment under the laws of the state in which it was committed, such a judge in this state may admit the person arrested to bail by bond, with sufficient sureties, and in such sum as he deems proper, conditioned for his appearance before him at a time specified in such bond, and for his surrender, to be arrested upon the warrant of the Governor of this state.