Defense alleges documents the Justice Department and phone carriers turned over show prosecutors obtained phone and email records for defense lawyer Robert J. Costello.
The former president appeared before a Washington, D.C., court on Thursday and pleaded not guilty to four criminal charges as part of special counsel Jack Smith's Jan. 6 probe.
Jordan had called Bragg's request to block the subpoena "extraordinary and unconstitutional."
Giuliani's law license is suspended and he is up against disbarment proceedings in D.C. and New York.
Chutkan's order came the same day that Smith requested the motion.
Trump promises in his video that the attorneys he would elect would be "legal warriors against crime"
