According to Justice Thomas, the justices have "discussed it and discussed it and discussed it," but have failed to reach consensus. Justice Breyer voiced concerns with broadcasting oral arguments because doing so "could detract from people's understanding of the court's functioning [as oral arguments constitute roughly only 2% of any given case]."
But, some members of Congress feel differently:
Rep. John Culberson, R-Texas, a member of the panel, told the justices he favored adding television coverage of the court, pointing to broadcasts of the U.S. House and Senate. "It's a very simple matter to broadcast live on the Internet," Culberson said. "There's no logical distinction between the audience in the room and the audience in the country out there."Hopefully we'll get an answer someday.