Sen. Marco RubioMarco RubioMexican politicians have a new piñata: Donald Trump Bush ethics lawyer: Congress must tell Trump not to fire Mueller The private alternative to the National Flood Insurance Program  MORE (R-Fla.) plans on briefing Republicans on progress in crafting an immigration reform bill during the next Republican policy luncheon.

Rubio, who has been involved in bipartisan negotiations on crafting an immigration reform bill, said he had been given the green light to update his Republican colleagues next week.

"Earlier this week, I requested and received permission to brief the entire Republican conference during our policy lunch next week. I look forward to briefing you at that meeting," Rubio wrote in a letter to four Senate Republicans on Friday.

Rubio's letter was in response to the four GOP senators, Mike LeeMike LeeOvernight Cybersecurity: Facebook invests in group fighting election hacking | House panel advances DHS cyber revamp bill | Lawmakers mull cyber insurance for small businesses Overnight Tech: Trump touts new Wisconsin electronics plant | Lawmakers to unveil email privacy bill | Facebook funds group fighting election hacks Bare bones repeal plan gains steam in Senate MORE (Utah), Jeff SessionsJeff SessionsOvernight Regulation: Federal prisons want to increase use of restraints | EPA moves ahead on water rule repeal Budowsky: Let’s discuss impeachment Dem lawmaker: Trump should fire Sessions MORE (Ala.), Chuck GrassleyChuck GrassleyOvernight Regulation: Federal prisons want to increase use of restraints | EPA moves ahead on water rule repeal Lawmakers push to toughen foreign lobbying rules Groups push DOJ to scrutinize Trump's US attorneys MORE (Iowa), and Ted CruzTed CruzBare bones repeal plan gains steam in Senate Dem lawmaker: Trump should fire Sessions GOP Senate candidate: concerns about Trump are 'coming to fruition' MORE (Texas), who urged Rubio and other senators involved in the immigration negotiations to offer more transparency on the bill's progress.

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The four senators sent a letter to the Republican senators in the so-called bipartisan Gang of Eight, urging them to release more details on their negotiations in crafting the immigration proposal. Members of the bipartisan group have recently said they plan to unveil their immigration reform bill soon.

"It is time for you to discuss the status of your negotiations, disclose what concessions have been made, and provide details to members of the Judiciary Committee as well as the entire Republican Caucus," the senators wrote in the letter, released Friday. "As members of the Judiciary Committee, we believe it is critical that the public and the entire Senate body be given adequate time to read and analyze the contents of any immigration bill put forth by the Majority. Our Committee has had only three hearings in recent months, barely touching on issues involving enforcement, border security or the creation of a temporary worker program."

They said that they were "deeply concerned" with recent statements made by Sen. Charles SchumerCharles SchumerLawmakers push to toughen foreign lobbying rules OPINION | Democrats: Time to wish Hillary Clinton good luck and goodbye How Democrats' "Better Deal" leaves American workers worse off MORE (D-N.Y.) that a basic agreement has been reached by the group on legalizing undocumented workers in the U.S. Schumer is one of eight senators involved in the talks.

"We should not further test the faith of the American people by implementing a major overhaul of the immigration system that prioritizes legalizing law breakers over the long-term needs of the country," their letter stated. 

"In that regard, we are deeply concerned by Senator Schumer’s recent statement that your group has “come to a basic agreement, which is that first, people will be legalized. In other words, not citizens, but they'll be allowed to work, come out of the shadows, travel. Then, we will make sure the border is secure," the GOP senators wrote.

  The senators wanted staffers to brief members of the Republican Committee staff by the end of Monday on the specifics of the immigration reform negotiations.

"Therefore, we ask that your staff be made available to brief Republican Committee staff no later than close of business on Monday, April 8," the senators wrote. "We also request that you personally discuss your group’s proposal with the entire caucus early next week so that all members can raise concerns and questions before the deal is finalized."

Senate Judiciary Committee Chairman Patrick LeahyPatrick LeahyOvernight Cybersecurity: Facebook invests in group fighting election hacking | House panel advances DHS cyber revamp bill | Lawmakers mull cyber insurance for small businesses Overnight Tech: Trump touts new Wisconsin electronics plant | Lawmakers to unveil email privacy bill | Facebook funds group fighting election hacks Senators to release bipartisan legislation on email privacy MORE (D-Vt.) recently told Rubio that he wanted to move quickly on moving the immigration bill to through his committee once it was unveiled.

"Because the President has failed to lead on this matter, your group has secretly met for months and not consulted with members of the Committee about major changes to our nation’s immigration laws," the senators wrote in the letter. "The time for transparency has come. Given the majority’s rushed timetable, we believe it is time for you to discuss the status of your negotiations, disclose what concessions have been made, and provide details to members of the Judiciary Committee as well as the entire Republican Caucus."  

--This report was updated at 5:10 p.m.