It shall be lawful for any party of whom a bond, undertaking or other obligation is required to agree with his surety or sureties for the deposit of any or all moneys and assets for which such surety or sureties are or may be held responsible with a bank, savings bank, safe deposit or trust company authorized by law to do business as such, or other depository approved by the court or a judge thereof, if such deposit is otherwise proper, for the safe keeping thereof and in such manner as to prevent the withdrawal of such moneys and assets or any part thereof without the written consent of such surety or sureties or an order of the court or a judge thereof, made on such notice to such surety or sureties as such court or judge may direct.