(CNN) The Senate is expected to consider legislation as early as Monday that is aimed at preventing online sex trafficking and improving actions to hold traffickers accountable.

Senate Majority Leader Mitch McConnell told members last week that they will move to the Stop Enabling Sex Traffickers Act after considering the banking bill , two GOP sources tell CNN.

The bill passed with overwhelming bipartisan support in the House last week and later received an endorsement from the White House. With 67 Senate cosponsors, it is expected to pass the Senate as well.

As there appear to be only a few outspoken opponents -- the most prominent of whom is Sen. Ron Wyden, a Democrat from Oregon -- one aide predicted to CNN that proceedings on the legislation could finish up within a day or two. That being said, it's expected that several members will want to speak on the floor in favor of the bill, which could take some time.

Wyden said in a statement he opposes the measure for fear that politicians are not tech-savvy enough to understand the technological side effects of the bill.

Read More