But some voters who cheered for Dole at campaign stops across the state Sunday said they could not guarantee they will vote for the Senate majority leader today.
"I would really like to see one primary where nobody is mudslinging," said Valerie Brown, a mother of three attending a crime prevention town meeting in Manchester's West High School.
Brown said she is leaning toward supporting Alexander because only he can defeat Clinton.
The candidate himself emphasized that the ultimate goal of the primary campaign is to select a candidate who is better than Clinton.
"There's one obstacle...one man standing in the way," Dole said at the Gramm endorsement press conference. "When [Clinton] leaves, things are going to get a lot better for America and America's children."
Dole followers are hoping Gramm's endorsement portrays a sense of unity within the GOP that will attract Republican voters who want nothing more than their man in the White House.