All temporary assignments of judges to the Supreme Court from a court of limited jurisdiction, other than the Court of Claims, or designations of eligibility for such assignments, shall be made by the Chief Administrator of the Courts, in his or her discretion, upon consultation with and agreement of the presiding justice of the appropriate Appellate Division, pursuant to Part 33 of the Rules of the Chief Judge and in accordance with the procedure set forth in this Part.
N.Y. Comp. Codes R. & Regs. Tit. 22 § 121.1