Washington (CNN) Donald Trump forcefully rejected the idea Tuesday that he might be considering getting out of the race as his lead in the polls has contracted in recent weeks.

"I'm not going anywhere, I'm leading every poll and I'm going to make our country great again," Trump told CNN's Chris Cuomo on "New Day" on Tuesday morning.

"I'm not getting out. I'm going to win, OK?" Trump added. "The answer is: I'm going all the way and I'm going to win."

Trump said Sunday on NBC's "Meet the Press" that he would get out of the race if his poll numbers plummeted and he had no chance of winning, setting off speculation among pundits that Trump might soon drop out of the GOP presidential contest.

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Trump remains the leading contender for the GOP nomination in all the major polls, but that lead has slipped in recent weeks as contenders like retired neurosurgeon Ben Carson and businesswoman Carly Fiorina gain on the billionaire candidate.