Asked if there was still a danger of runs on other banks, the official said the U.S. banking system was in "a vastly better position right now" than if the actions had not been taken, and depositors should have confidence their funds would be protected.

The White House is also keeping close watch on any outflows of money to larger banks, and remains committed to ensuring robust competition in the banking sector, the official said.

(Reporting by Andrea Shalal; Editing by Leslie Adler)