Sen. Marco RubioMarco Antonio RubioOvernight Defense: Tillerson, Trump deny report of rift | Tillerson says he never considered resigning | Trump expresses 'total confidence' in secretary | Rubio asks Army to kick out West Point grad Rubio asks Army to kick out West Point grad with pro-communist posts GOP establishment doubts Bannon’s primary powers MORE (R-Fla.) on Tuesday threatened to vote against the Gang of Eight immigration bill he helped draft unless there are further changes to the legislation.

In an interview with conservative radio talk show host Hugh Hewitt, Rubio said more needed to be done to “strengthen the border security parts of this bill so that they’re stronger.”

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Asked if he would still back the bill if amendments to tighten border security failed, Rubio said “no.”

“Well, I think if those amendments don’t pass, then I think we’ve got a bill that isn’t going to become law, and I think we’re wasting our time. So the answer is no,” he added.

Rubio is one of eight senators who drafted the bipartisan Senate immigration deal that would provide a pathway for illegal immigrants already in the country, crack down on border security and create a new guest worker program.

But GOP opposition to the citizenship pathway, which many conservatives view as “amnesty,” has placed the Tea Party favorite in a difficult spot. Rubio’s continued support is seen as crucial to helping rally other conservative lawmakers to back the bill.

On Monday, Rubio warned that the bill still did not have the 60 votes needed, contradicting his Gang of Eight colleagues Sens. Charles SchumerCharles (Chuck) Ellis SchumerOvernight Health Care: Schumer calls for tying ObamaCare fix to children's health insurance | Puerto Rico's water woes worsen | Dems plead for nursing home residents' right to sue Crying on TV doesn't qualify Kimmel to set nation's gun agenda Trump knocks ‘fake’ news coverage of his trip to Puerto Rico MORE (D-N.Y.) and John McCainJohn Sidney McCainRubio asks Army to kick out West Point grad with pro-communist posts The VA's woes cannot be pinned on any singular administration Overnight Defense: Mattis offers support for Iran deal | McCain blocks nominees over Afghanistan strategy | Trump, Tillerson spilt raises new questions about N. Korea policy MORE (R-Ariz.) who said they hoped to win 70 votes, and Senate Majority Leader Harry ReidHarry ReidChris Murphy’s profile rises with gun tragedies Republicans are headed for a disappointing end to their year in power Obama's HHS secretary could testify in Menendez trial MORE (D-Nev.) who said he believed he had the numbers to pass the bill.

Schumer on Sunday said that passing the bill with a commanding majority in the upper chamber could pressure GOP leaders in the House to take up the Senate bill.

A bipartisan House group is also working on its own proposal, but immigration reform faces a tougher fight amid opposition from many GOP lawmakers. House Judiciary Committee Chairman Bob GoodlatteBob GoodlatteOvernight Cybersecurity: Equifax security employee left after breach | Lawmakers float bill to reform warrantless surveillance | Intel leaders keeping collusion probe open House bill set to reignite debate on warrantless surveillance Warrantless wiretapping reform legislation circulates on Capitol Hill MORE (R-Va.) has also said he will consider immigration reform on a piecemeal basis, leading to concerns from reform advocates that legislation will falter in the House.