US Senators pushed for a compromise gun control bill, a day after the Senate failed to advance four gun measures following last week’s mass shooting in Orlando, the deadliest in modern US history.

Senate Majority Leader Mitch McConnell said he would schedule a vote on a bill by fellow Republican Senator Susan Collins that would prevent about 109,000 people on no-fly and other surveillance lists from purchasing guns. Collins said she expected a vote on the bill this week or next.

On Monday, the Senate defeated a Democratic prohibition on gun sales to people on a broader range of government watch lists, while also blocking a narrower Republican measure. It was too soon to tell if President Barack Obama would support the Collins bill. Spokesman Josh Earnest said senior officials including lawyers at the Department of Justice were taking a look at it.