Follow CBSDFW.COM: Facebook | Twitter

AUSTIN (AP) – A contentious bill allowing concealed handguns on college campuses in Texas will likely let schools carve out large gun-free zones, as state lawmakers negotiate final language before Monday’s deadline.

READ MORE: Working From Home Is Exposing Us To Another Type Of Virus: Cybercrime

Sen. Brian Birdwell, who authored the Senate version of the measure, said Thursday that he’s willing to let universities ban guns from some parts of campus.

That’s a major concession to opponents of the measure, who say guns don’t belong in academic settings.

READ MORE: Immigration Conversation Between Former President George W. Bush, Dirk Nowitzki And Mark Cuban Airs At Dallas Mavericks Game

The Granbury Republican also says he’ll insist on letting private schools set their own rules whether to allow guns unlike public universities. Birdwell calls it a private property rights issue.

Meanwhile, House and Senate negotiators also have until the legislative session ends Monday to agree on a separate bill, this one allowing open carry of handguns statewide.

MORE NEWS: Driver Charged With Intoxication Manslaughter Following Crash In Arlington That Killed Passenger

(© Copyright 2015 The Associated Press. All Rights Reserved. This material may not be published, broadcast, rewritten or redistributed.)