WASHINGTON (CNN) -- White House senior adviser Karl Rove has been told by Special Counsel Patrick Fitzgerald that he will not be charged in the CIA leak case, according to Robert Luskin, Rove's lawyer. "In deference to the pending case, we will not make any further public statements about the subject matter of the investigation," Luskin said in a written statement Tuesday. "We believe that the special counsel's decision should put an end to the baseless speculation about Mr. Rove's conduct." A grand jury has heard testimony from Rove in five appearances, most recently April 26. After that appearance, Luskin issued a statement saying, "In connection with this appearance, the special counsel has advised Mr. Rove that he is not a target of the investigation." At issue in the case has been how covert CIA operative Valerie Plame's name was disclosed to the media. On Monday, I. Lewis "Scooter" Libby, a former aide to Vice President Cheney, appeared in court to update a judge on preparations for his trial in the case. Libby, who resigned in October as chief of staff to Cheney, is fighting charges he lied to investigators and a grand jury about his knowledge of Plame. Plame's husband, U.S. diplomat Joe Wilson, had openly challenged part of the Bush administration's pre-war rationale for waging war on Iraq. But Libby's defense counsel has asserted there was no sinister effort to punish the Wilsons by revealing the identity of his wife to several reporters.