Sen. Marco RubioMarco RubioWhat’s with Trump’s spelling mistakes? Boeing must be stopped from doing business with Iran Top Trump officials push border wall as government shutdown looms 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 LeeObamaCare must be fixed before it collapses Trump signs order to end 'egregious abuse' of national monuments Trump takes aim at Obama monuments MORE (Utah), Jeff SessionsJeff SessionsHouse panel refers Clinton server company for prosecution Sessions to keep up fight on sanctuary cities despite legal setback Suspended Alabama judge running for Senate MORE (Ala.), Chuck GrassleyChuck GrassleyComey to testify before Senate Judiciary Committee GOP to kill language exempting staff from new ObamaCare repeal bill House cyber chairman wants to bolster workforce MORE (Iowa), and Ted CruzTed CruzCruz: Breaking up 9th Circuit Court ‘a possibility’ The Hill's 12:30 Report Overnight Defense: Senators go to White House for North Korea briefing | Admiral takes 'hit' for aircraft carrier mixup | Lawmakers urged to beef up US missile defense 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 SchumerCruz: 'Schumer and the Democrats want a shutdown' GOP fundraiser enters crowded primary for Pa. Senate seat Dems: Trump risks government shutdown over border wall 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 LeahyLawmakers talk climate for Earth Day, Science March Poll: Sanders most popular senator in the US Senate Dems offer bill to restore internet privacy rules 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.