By Mike Lillis - 02/01/13 04:50 PM EST
Leahy said he hopes to mark up legislation this month, and Senate Majority Leader Harry Reid (D-Nev.) has said he'll bring to the floor whatever package the Judiciary panel approves.
McConnell wondered aloud whether Reid would make good on his promise.
"We'll have to see what the Judiciary Committee is able to come up with, and whether or not the Majority Leader actually brings it to the floor for consideration," McConnell told Yahoo in the interview, which was conducted on Wednesday.
"These school shootings are just horrendous, I mean, it absolutely shocks and appalls everybody in the country," he said. "The question is, 'What can the government do about insane people doing horrendous things?' It's a very complex question."
McConnell also addressed the looming fight over immigration reform, which is yet another hot-button issue on Obama's priority list this year.
The minority leader declined to say whether an overhaul should carve out a pathway to citizenship for the millions of illegal immigrants estimated to be living in the country – the most contentious element of a bipartisan proposal unveiled earlier this week by a powerful group of bipartisan senators. But he did endorse improvements to the guest worker program, saying the agriculture industry simply can't function without access to low-skilled foreign workers.
For more on McConnell's comments, click here.