"Two days ago, as you may recall, there were widespread erroneous reports of arrests being made," Schumer said. "This just emphasizes how important it is to allow the actual facts to come out before jumping to any conclusions about Boston."
Sens. John McCain, R-Ariz., and Lindsey Graham, R-S.C., also members of the Gang of Eight, said the Boston attacks were a reason to move ahead with immigration reform, not to delay it.
"In the wake of this week's terrorist attack in Boston, some have already suggested that the circumstances of this terrible tragedy are justification for delaying or stopping entirely the effort for comprehensive immigration reform. In fact the opposite is true," McCain and Graham said in a written statement. "Immigration reform will strengthen our nation's security by helping us identify exactly who has entered our country and who has left -- a basic function of government that our broken immigration system is incapable of accomplishing today."
"It's the right question at the right time, because we're talking about what to do with foreigners in the United States or coming to the United States. And it's put in the context, clearly, of our national security first," Gang of Eight member Sen. Dick Durbin, D-Ill., said in an interview set to air tonight on Bloomberg TV's "Political Captial With Al Hunt."
Former White House press aide Tony Fratto, who worked under President George W. Bush, warned on Twitter against drawing any comparisons.
"There is no lesson or consequence from events in #Boston relevant to the immigration reform debate. Stop that idiocy," Fratto tweeted.
ABC News' Serena Marshall and Dana Hughes contributed to this report.