"We expect to meet our goal of having comprehensive immigration reform supported by all eight of us by the end of March. We’re on track," Schumer said.
But McCain on Monday cautioned that the negotiations were continuing, and wouldn't guarantee a deal by early April.
"I can't guarantee anything," McCain said at a town hall in Arizona. “We're still in serious negotiations, but we have made progress. We are negotiating now, as we are in recess."
President Obama, who has urged Congress to pass a comprehensive immigration reform plan early in 2013, on Monday said he expects Congress to debate a "comprehensive, sensible" reform plan in April.
The other members of the Gang of Eight are Sens. Dick DurbinDick DurbinDems rip Trump administration for revoking Obama's transgender directive A guide to the committees: Senate McConnell: I’m very sympathetic to 'Dreamers' MORE (D-Ill.), Robert
Menendez (D-N.J.), Lindsey GrahamLindsey GrahamCNN to host town hall featuring John McCain, Lindsey Graham Club for Growth launches ad targeting GOP tax writer Dem senator asks for 'top to bottom' review of Syria policy MORE (R-S.C.) and Marco RubioMarco RubioRubio brushes off demonstrator asking about town halls A guide to the committees: Senate Schumer: GOP will break from Trump within months MORE (R-Fla.).