New numbers on the Florida Senate race show Gov. Charlie Crist (I) in a slightly better position in the general election if self-funder Jeff Greene emerges the winner of the Democratic primary. 

In a three-way race with Greene as the Democratic nominee, Crist leads with 37 percent of the vote. Republican Marco Rubio polls at 36 percent and Greene is third with 20 percent of the vote. 

If Rep. Kendrick Meek (D-Fla.) is the Democratic nominee, Rubio holds a slim lead with 38 percent of the vote to Crist's 33 percent. Meek polls third with 21 percent. 

With Greene as the nominee, Crist wins the support of 42 percent of Democrats. But with Meek as the Democrat in the general, just 36 percent of Democrats go with Crist. 

The new numbers largely mirror the last Rasmussen poll on the race from July in which Rubio held a narrow lead in a three-way race with Crist and Meek.

Meek is still fighting for his life in the Democratic primary set for August 24 and will get a much needed assist from former President Bill Clinton on the trail next week. Clinton is headlining three separate campaign rallies for Meek on August 16, which is likely to help drive turnout among African-American voters in the state.

While the latest public polling on the primary shows Greene leading, Mark Blumenthal warns over on the Huffington Post that the polls might be underestimating Meek's support in the primary. 

He says the African-American turnout is likely to be higher than most public polls are estimating and that could be shortchanging Meek's support by as much as 8 to 10 points.