U.S. District Judge James Robertson was one of 11 justices on the Foreign Intelligence Surveillance Court that oversees government observance of individuals believed to pose a national security threat.
According to the Post, Robertson has told associates he was concerned that Bush's authorization of the National Security Agency (NSA) to monitor telephone calls from inside the United States undermined the court.
After the September 11, 2001, terrorist attacks, Bush signed an order allowing the NSA to inspect emails and listen in on phone calls of individuals suspected of having contacts with terrorists without court oversight.
The directive has produced a new round of criticism against Bush and sparked a debate over how far the president should go in compromising privacy to protect Americans from another attack.
Bush has steadfastly defended his decision.