Ryan's comments come as one senior House GOP member told CNN enough House Republicans are likely to agree to a push for legislation that would ban bump stocks that something could pass in the GOP-controlled House.
"Paul Ryan and Washington's establishment Republicans, catering to drug companies and special interests", says a narrator, as a smiling Ryan is seen working with Senate Majority Leader Mitch McConnell (R-Ky.).
One of the most popular manufacturers of bump-stocks, Slide Fire, said they had sold out "due to extreme high demands" since the Las Vegas shooting.
"I will tell you that the unique aspect of the bump stock and how you would literally transform a semiautomatic weapon into an automatic weapon is something that I think bears looking into", Cornyn told Texas reporters on a conference call.
Democratic House leaders like Rep. Nancy Peosi of California have also repeated calls for action.
"The NRA believes that devices created to allow semi-automatic rifles to function like fully-automatic rifles should be subject to additional regulations", it said in a statement. "The investigation into the Las Vegas shooting is still ongoing, and we need to get more information before making a decision on a hearing and what it might cover", said Senate Judiciary Committee Chairman Chuck Grassley of Iowa.
This comes after the deadliest mass shooting in Las Vegas that claimed the lives of 58 people and wounded 500 others.
This source believed that there would be a GOP-sponsored bill from a group of moderate Republicans that would narrowly address the issue. She reiterated discussions about bump stocks are something that the White House welcomes.
"The U.S. Bureau of Alcohol, Tobacco, Firearms and Exploives must re-evaluate these devices, and it is my hope that they conclude these mechanisms violate the spirit, if not the letter, of the law", Rep. Adam Kinzinger, R-Ill., added in a statement. "Is he going to bring the bill to the floor?" "So clearly that's something we need to look into". Chris Murphy of CT, a Democrat who has become a leader on firearms safety measures since the 2012 killings of 20 first-graders and six adults at an elementary school in Newtown, Conn.
The Senate's No. 2 Republican, Sen. Pat Toomey of Pennsylvania, who co-sponsored a bipartisan background check bill that was defeated a few years ago, was noncommittal Thursday.
"In the aftermath of the evil and senseless attack in Las Vegas, the American people are looking for answers as to how future tragedies can be prevented", NRA chiefs Wayne LaPierre and Chris Cox wrote in the statement. Several "bump stocks" were found on other firearms from Paddock's room, investigators said.
A Republican-led version of the bill may be submitted for debate as early as Thursday, Florida Republican Carlos Curbelo told reporters.
With a "bump stock", a shooter can modify a weapon to fire at close to the rate of a full automatic. During the Obama administration, the ATF authorized use of the stocks.
"I don't think this should be politicized and viewed as an opportunity to try to limit the second amendment rights of law-abiding citizens", Cornyn said. The alleged gunman appears to have used the device for rapid shooting.