Washington (CNN) A bill that would change the way songwriters in the music industry are paid in the digital age is in the final stretches of becoming law.

In a Congress that's divided on most hot-button issues, the Music Modernization Act passed the Senate by unanimous consent last week after the House passed its version of the bill in April.

A co-sponsor of the bill, Tennessee Sen. Lamar Alexander, told CNN he expects the House to approve the Senate's version of the bill this week, though as of Sunday a vote on the House bill had not yet been scheduled. The House majority leader's office declined to comment to CNN for this story. The bill's supporters say the goal is for President Donald Trump to sign the bill into law by the start of October.

If passed, the Music Modernization Act would be the first overhaul to music copyright law in decades.

The bill, co-sponsored by Utah Republican Sen. Orrin Hatch who is a songwriter himself , would overhaul the laws related to how songwriters are paid when their songs are licensed or played. The act would also allow artists to receive royalties for songs recorded before 1972.