The Supreme Court has announced on its main Web site that it will remain open next week in spite of any government shutdown: "In the event of a lapse of appropriations, the Court will continue to conduct its normal operations through the week of April 11. The Court building will be open to the public during its usual hours."
Even though it is an independent branch of government, the Court of course relies on Congress for its appropriations, so it would normally be affected by a shutdown just like any other agency. But apparently an unusual arrangement will be used to keep the Court doors open.
As we reported here and here, the lower federal courts will remain open by tapping into the money they receive in filing fees and the like. But the Supreme Court has its own budget, and the fees it receives go directly to the U.S. treasury. So for the next week, the high court will make use of a temporary arrangement with the Administrative Office of the U.S. Courts to draw funds from that lower court funding source, apparently to be reimbursed later.
The Court is not in session next week, so the disruption would likely be fairly minimal anyway. Coincidentally, the Court's budget hearing before a House Appropriations Committee subcommittee is scheduled for Thursday, April 14.