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Rubio's tweet is in response to Senate Judiciary Committee Chairman Patrick LeahyPatrick LeahyPath to 60 narrows for Trump pick Overnight Regulation: Trump repeals 'blacklisting' rule Senators call for pay equity for US women's hockey team MORE (D-Vt.) cautioning lawmakers from rashly connecting comprehensive immigration reform to the Boston Marathon bombing.

"Late last week opponents of comprehensive immigration reform began to exploit the Boston Marathon bombing. I urge restraint in that regard," Leahy said in his opening statement at an immigration reform hearing on Monday. 

Leahy said the immigration bill would improve national security.

"The bill before us would serve to strengthen our national security by allowing us to focus our border security and enforcement efforts against those who would do us harm," Leahy said. "But a nation as strong as ours can welcome the oppressed and persecuted without making compromises on our security. We are capable of vigilance in our pursuit of these values."

A number of lawmakers have said the bombing should be factored into crafting a new immigration reform law. At around the same time that Rubio published his tweet, Sen. Rand PaulRand PaulSenate takes up NATO membership for Montenegro Overnight Defense: Civilian casualties raise questions about rules of engagement | Air Force nominee set for hearing | Senate takes up NATO membership for Montenegro Feehery: Freedom Caucus follies MORE (R-Ky.) released a letter to Senate Majority Leader Harry ReidHarry ReidAfter healthcare fail, 4 ways to revise conservative playbook Dem senator 'not inclined to filibuster' Gorsuch This obscure Senate rule could let VP Mike Pence fully repeal ObamaCare once and for all MORE (D-Nev.) and Senate Minority Leader Mitch McConnellMitch McConnellPath to 60 narrows for Trump pick Dems delay Senate panel vote on Supreme Court nominee This week: GOP picks up the pieces after healthcare defeat MORE (R-Ky.), arguing that the effort to overhaul the nation's immigration system should be paused until Congress fully investigates the Boston bombing and adds new protections into the legislation.

In the letter, Paul argued that "the Senate needs a thorough examination of the facts in Massachusetts to see if legislation is necessary to prevent a similar situation in the future."

—This story was updated at 12:21 p.m.