House Minority Leader Nancy Pelosi argued Thursday possible legislation banning "bump stocks" would be welcome, but it shouldn't mean legislation tightening background checks for gun purchases shouldn't be considered.

Pelosi, D-Calif., doesn't want the momentum for gun control legislation in the wake of the mass shooting in Las Vegas on Sunday to stop with a single bill.

"I don't think bump stocks should be a substitute for the background check," Pelosi said at her weekly press conference Thursday.

The California Democrat is touting a bill by Reps. Mike Thompson, D-Calif., and Peter King, R-N.Y., that would close loopholes and extend the background check system to cover all commercial firearm sales, including at gun shows and those purchased over the Internet.

Rep. Carlos Curbelo, R-Fla., is currently writing legislation to ban the sale of bump stocks, which is under consideration by Republican leaders, many of whom were not familiar with bump stocks until this week.

Pelosi also reiterated her call for a bipartisan commission to investigate gun violence, one that has been shot down by Republicans in the House. Ultimately, Pelosi is counting on House Speaker Paul Ryan to bring legislation to the floor, including a potential bump stock bill that Democrats would likely support.

"It really is all up to the speaker. Is he going to bring a bill up to the floor?" Pelosi said. "Certainly, the public pressure in terms of bump stocks is such that we would pass that if he would bring it to the floor."