"Women as well as men make their decisions after they weigh the evidence," Clinton said.
It was Clinton's second campaign visit to Florida since she conceded the Democratic nomination to Obama in June.
Palin, meanwhile, attended a ceremony in Detroit on Monday, where she and McCain picked up an endorsement from the Fraternal Order of Police Union.
Critics have condemned Palin as lacking in experience for a vice-presidential role.
She has been governor since 2006 and her previous public service was as the mayor of a small town.
But her nomination has energised the Republican campaign and about 6,000 people turned up to see McCain and Palin at a rally in Albuquerque on Saturday.
Five public opinion polls released on Monday said McCain and Obama were tied as they headed into the final eight weeks of the race for the White House.