Privacy advocates’ tepid response to the USA Freedom Act, which passed the House in May, has incited one senator to introduce new legislation to counter NSA’s unfettered surveillance.

Over the weekend, The New York Times revealed that Sen. Patrick Leahy, D-Vt., intends to introduce the bill on Tuesday. 

After key privacy provisions of the USA Freedom Act failed to make it into the bill earlier this year, Leahy crafted improved legislation that would “require [NSA] to ask for the records of a specific person or address it is tracking,” rather than bulk collecting data in a wide vicinity during an investigation, the outlet reported.

Leahy’s new bill also proposes that the government reveal the number of individuals whose data was collected by intelligence agencies, also specifying the number of Americans, the article said.