Apple Inc. has lost a skirmish in its battle to rein in the company’s court-appointed antitrust monitor, Michael Bromwich, failing to persuade a judge to slash one of Bromwich’s recent bills or to limit his access to Apple top brass.

At a hearing on Friday, U.S. Magistrate Judge Michael Dolinger in Manhattan heard Apple’s arguments that it shouldn’t have to shoulder the full cost of an April 14 status report, which Apple says was unnecessary and duplicative of one of Bromwich’s earlier filings. Apple lawyer Matthew Reilly of Simpson Thacher & Bartlett also asked Dolinger to discourage Bromwich from conducting further interviews with Apple personnel, pointing out that the company recently made 10 individuals available to meet with him, including CEO Tim Cook.