Senate Majority Leader Harry Reid (D-Nev.) pledged to hold an open amendment vote on a major gun-reform bill after it moves through the chamber’s Judiciary Committee.

“What I am hopeful we can do is we can get a bill reported out of the Judiciary Committee,” Reid told reporters on Tuesday.

“It may not be everything that everyone wants. I am hopeful it will have some stuff in there that’s really important. And then I expect to have a free amendment process on the floor.”

Reid has been stuck in a tricky position on the issue of gun-reform legislation, which the Obama administration has strongly pushed since a deadly elementary school shooting in Connecticut last month claimed the lives of 20 children.