From a story on politico.com by Josh Gerstein headlined “Roberts: Supreme Court seeks to assure public on justices’ ethics”:

Chief Justice John Roberts signaled that the Supreme Court is attuned to public ethics concerns about the justices, saying that he’s seeking ways to address those worries without jeopardizing the high court’s independence.

“I want to assure people that I’m committed to making certain that we as a court adhere to the highest standards of conduct,” Roberts said during a speech to a legal gathering in Washington. “We are continuing to look at things we can do to give practical effect to that commitment, and I am confident there are ways to do that that are consistent with our status as an independent branch of government and with the constitution’s separation of powers.”