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The Republican presidential primary field remains extremely fluid, according to a new CBS News/New York Times poll released early Tuesday that also shows that, despite his missteps over the past two weeks, Herman Cain remains at or near the top of the GOP field.

Cain leads former Massachusetts Gov. Mitt Romney in the poll, 25 percent to 21 percent -- within the poll's margin of error. Former House Speaker Newt Gingrich was third, at 10 percent, followed by Rep. Ron Paul, R-Texas, at 8 percent.

Texas Gov. Rick Perry was well back in fifth place, with just six percent of the vote. But while Perry has slipped in the horse-race -- a little over a month ago, he led the GOP field in CBS News polling -- the new survey shows that he does have an opportunity to get back into the race.

Of those likely Republican primary voters who expressed a choice in the election matchup -- not including undecided voters -- 80 percent said they had not fully made up their mind. That means that more that four-in-five GOP voters are still weighing their options.

The poll of 455 likely GOP primary voters was conducted Oct. 19-24. The margin of error is +/- 4.6 percent.