WASHINGTON (AP) — Sen. Patrick Leahy on Tuesday introduced a bill to end the National Security Agency’s bulk collection of phone records, a proposal that goes further than a similar House measure and has drawn support from civil liberties groups, the White House and Republicans.

The bill represents the latest step in fulfilling a January promise by President Barack Obama to end the NSA’s collection of domestic calling records. If enacted, it would represent the most significant change to come in the wake of the leaks of once-secret surveillance programs by former NSA systems administrator Edward Snowden.