The case targets search warrants used before Andrew's February arrest on suspicion of misconduct in public office, after information emerged from U.S. Epstein files; he denies wrongdoing.
Thames Valley Police said it is engaged in legal proceedings over warrants obtained from the Central Criminal Court and cannot comment further while the case is ongoing.
Thursday's hearing will begin in private, with a judge first considering a police request to keep some documents confidential; Buckingham Palace says it is not involved because Andrew is no longer a working royal.