“It’s now or never.”

That’s how Sen. John Cornyn, the lead Republican negotiator on the bipartisan gun safety package, described last week’s deliberations.

Talks to try to resolve key sticking points moved in a much more positive direction since Thursday, a source familiar told CNN’s Lauren Fox on Sunday. But senators have been racing against the clock ahead of the July Fourth recess, which begins at week’s end, to turn a general agreement on gun safety