Senate Majority Leader Mitch McConnell’s influence will be tested on Tuesday, when lawmakers vote on three of his amendments that are aimed at preserving some of the federal government’s authority to conduct anti-terrorism surveillance.

McConnell wants to make several changes to the USA Freedom Act, a bill that would extend a lapsed federal anti-terror surveillance program with significant reforms, including an end to the government’s bulk data collection program. Those votes are slated for Tuesday.