"I would say for the sake of our national security we want to modernize our immigration laws," Ryan said Monday according to the Milwaukee Journal-Sentinel.
His comments came after he delivered a speech at the City Club of Chicago.
"We do not know how to even track people who overstay their visas," Ryan said. "We need a modern immigration system that helps us not only protect our border but protects national security and all of its aspects. If anything I would say this is an argument for modernizing our immigration laws."
A number of lawmakers have said proponents of overhauling the nation's immigration system should consider the bombing, which resulted in three dead and more than 200 injured. The two suspects in the bombing are of Chechen descent.
Earlier on Monday Sen. Rand PaulRand PaulGOP senators avoid Trump questions on rigged election How low is the bar for presidential candidates, anyway? Lawmaker seeks to investigate Obama's foreign tax compliance law MORE (R-Ky.) urged Senate Majority Leader Harry ReidHarry ReidPelosi blasts GOP leaders for silence on Trump Latinos build a wall between Trump and White House in new ad The true (and incredible) story of Hill staffers on the industry payroll MORE (D-Nev.) to focus on the national security vulnerabilities in the country's immigration system before passing comprehensive immigration reform. A number of proponents of a bipartisan immigration reform proposal currently under consideration shot back that that bill does, in fact, strengthen national security.
During his speech, Ryan said that the problems with the nation's immigration system are easy to see.
"You can see the dysfunction of our current immigration system. It doesn't work for anybody," Ryan said.
Ryan, the chairman of the House Budget Committee, said to properly improve the country's immigration system border security would have to be strengthened and there should be "a path to earned legalization" for immigrants living in the country illegally."
"We have to invite people to come out of the shadows," Ryan said.