In all, 86% would back such a law, with only 7% opposed. Support crosses traditional partisan boundaries, with 87% of Democrats and 87% of Republicans in favor of the change.

Sen. Chris Murphy, a Democrat from Connecticut, staged a 15-hour filibuster in the Senate on Wednesday night to push for a vote on two laws: one banning gun sales to people on the terror watch list and another making changes to how the government conducts background checks. Sen. Murphy reportedly reached a tentative deal with Republicans on both measures.

There is also considerable support for a ban on assault rifles, something else that has been suggested by gun control advocates in the wake of Orlando. 62% are in favor of banning assault rifles, while 27% are opposed. There is a bigger gap between Democrats and Republicans on this issue, but Republicans still narrowly support it 48% to 42%.