Story highlights Donald Trump highlighted a poll Tuesday that showed his backers would support him as an independent

Trump has said he'd run for president as a Republican, not an independent, as long as he's treated "fairly" by the party

Washington (CNN) Donald Trump is bringing back the "independent" talk.

The Republican presidential front-runner has said he'd stick with the party, rather than launching an independent campaign for the presidency, as long as he is treated "fairly" in its nominating contest.

But after top Republicans and nearly the entire field of his presidential rivals condemned his recent proposal to ban Muslims from traveling to the U.S., Trump took to Twitter to remind them his loyalty only runs so deep.

He tweeted Tuesday: "A new poll indicates that 68% of my supporters would vote for me if I departed the GOP & ran as an independent." He also linked to a USA Today/Suffolk University poll showing those results.

A new poll indicates that 68% of my supporters would vote for me if I departed the GOP & ran as an independent. https://t.co/ztP5d2ctZl — Donald J. Trump (@realDonaldTrump) December 8, 2015

GOP Chairman Reince Priebus said in an interview Tuesday with the Washington Examiner that he disagrees with Trump's proposal -- the first time the party's chief has publicly criticized a Trump proposal.

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