“We think the current information-sharing regime is adequate,” said Mark Jaycox, legislative analyst at the Electronic Frontier Foundation, a privacy group. “More companies need to use it, but the idea of broad legal immunity isn’t needed right now.” The administration official disagreed. The lack of such immunity is what prevents many companies from greater sharing of data with the government, the official said. “We have heard that time and time again,” the official said. The proposal, which builds on a 2011 administration bill, grants liability protection to companies that provide indicators of cyberattacks and threats to the Department of Homeland Security.