Sen. Marco RubioMarco Antonio RubioTrump appears to confirm deal on Chinese firm ZTE Hillicon Valley: Experts worry North Korea will retaliate with hacks over summit | FBI works to disrupt Russian botnet | Trump officials look to quell anger over ZTE | Obama makes case for tighter regs on tech Putting pressure on Trump, House passes bill barring government from doing business with ZTE MORE (R-Fla.) on Sunday cautioned that reports that a bipartisan group in the Senate was close to a deal on reforming the nation’s immigration laws was “premature.”

“I’m encouraged by reports of an agreement between business groups and unions on the issue of guest workers,” said Rubio in a statement released Sunday. “However, reports that the bipartisan group of eight senators have agreed on a legislative proposal are premature.”

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Rubio’s statement came after reports Saturday said business and labor groups had reached a deal on a plan to grant visas to low-skilled guest workers, a key stumbling block in congressional efforts to forge immigration reform.

The news led to speculation that the “Gang of Eight” senators who are working on an immigration reform deal were nearing a final accord. 

Rubio’s colleagues in the group were much more optimistic about quickly finalizing a deal. 

On the Sunday morning shows, Sen. Lindsey GrahamLindsey Olin GrahamGraham: Trump 'probably' shouldn't call use of FBI informant 'spygate' Graham on canceled summit: Trump thought North Korea was ‘playing him’ House GOP sets three FBI interviews in Clinton probe MORE (R-S.C.) said the group had reached a deal “conceptually” and could roll out a bill as early as “next week.” Sen. Charles SchumerCharles (Chuck) Ellis SchumerOvernight Finance: White House planning new tax cut proposal this summer | Schumer wants Congress to block reported ZTE deal | Tech scrambles to comply with new data rules OPEC and Russia may raise oil output under pressure from Trump The Hill's 12:30 Report — Sponsored by Delta Air Lines — GOP centrists in striking distance of immigration vote MORE (D-N.Y.), who helped broker the business-labor agreement, said a floor vote could come as early as May.

Rubio, however, said the group had made “substantial progress” but cautioned that unveiling the legislation would “only be a starting point.”

“But arriving at a final product will require it to be properly submitted for the American people’s consideration, through the other 92 senators from 43 states that weren’t part of this initial drafting process. In order to succeed, this process cannot be rushed or done in secret,” said Rubio.

On Saturday, in a letter to Senate Judiciary Chairman Patrick LeahyPatrick Joseph LeahyMcConnell sets 'minibus' strategy for 2019 spending Dem senator mocks Pruitt over alleged security threats: 'Nobody even knows who you are' Pruitt tells senators: ‘I share your concerns about some of these decisions’ MORE (D-Vt.) Rubio cautioned against a “rush to legislate” on immigration reform. 

He warned that moving too quickly could cost public support for immigration reform. 

“A rush to legislate, without fully considering all views and input from all senators, would be fatal to the effort of earning the public’s confidence,” said Rubio.

Rubio, a Tea Party favorite, would play a key role in winning support for any immigration bill among conservative GOP lawmakers. 

The Senate proposal being finalized will include a pathway to citizenship for illegal immigrants already in the country, heightened border security requirements and efforts to boost both low-skilled and high-skilled labor.