(CNN) – Even as the prolonged Democratic presidential race has become more divisive in its final stretch, a majority of Democrats want Barack Obama to choose Hillary Clinton as his running mate, according to a new poll out Tuesday.

A new Gallup poll shows 55 percent of Democrats and Democratic-leaning independents surveyed think Obama should offer the New York senator a spot on his ticket. That number is significantly influenced by Clinton's supporters — close the 75 percent of her backers want the No. 2 spot to be offered, while only 43 percent of Obama supporters feel the same.

Rep. Charlie Rangel, who also backs Clinton, also put his support behind a joint ticket Monday. Speaking on CNN, the New York congressman said such a scenario would be "terrific," adding "I hope it works out that way."