"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 PaulSaudi skeptics gain strength in Congress Senators challenge status quo on Saudi arms sales Five tips from Trump's fallen rivals on how to debate him MORE (R-Ky.) urged Senate Majority Leader Harry ReidHarry ReidBlack Caucus demands Flint funding from GOP Report: Intelligence officials probing Trump adviser's ties to Russia White House preps agencies for possible shutdown 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.