(CNN) Vermont Sen. Bernie Sanders and former secretary of state Hillary Clinton are running even in a new national poll tracking support for the Democratic presidential race.

The poll appears to signal a dramatic tightening of the Democratic race following Clinton's razor-thin victory over Sanders in the Iowa caucuses.

The Quinnipiac poll is one of the first national surveys released since the Iowa results, so it is important to note it could represent statistical noise -- trends won't be clear until more national polling emerges.

National polls conducted before the Iowa caucuses showed the Democratic race tightening, but with Clinton still leading Sanders by double digits. CNN's own national Poll of Polls from just before Iowa found Clinton at 53%, Sanders at 36% and former Maryland Gov. Martin O'Malley at 2%.

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