National Rifle Association President David Keene said Sunday that he does not believe a ban on assault weapons and high-capacity magazines will win passage with the current Congress.

"I would say that the likelihood is that they are not going to be able to get an assault weapons ban through this Congress," Keene said on CNN's "State Of The Union."

In the wake of the mass shooting at a Newtown, Conn., school last month, an Obama administration task force is set to offer policy recommendations Tuesday about how to curb gun violence. President Obama has endorsed renewing an expired ban on assault weapons and high-capacity magazines, and gun control advocates in Congress have said they will get behind such a measure.

The NRA met last week with the Vice President Biden, who heads the Obama administration task force. After the meeting, the group said it was "disappointed with how little this meeting had to do with keeping our children safe and how much it had to do with an agenda to attack the Second Amendment."

Appearing on the same program as Keene, Sen. Chris Murphy (D-Conn.), a gun control advocate, said he disagreed with the NRA president, and believes an assault weapons ban can win passage on Capitol Hill.

"Newtown fundamentally changed things. And the NRA just fundamentally doesn't get this," Murphy said.