Florida Gov. Charlie Crist (I) is holding onto a five-point lead in a three-way Florida Senate race in a new poll, but the numbers show the former Republican-turned-independent has upped his support among Democratic voters over the past several weeks.

The Quinnipiac poll out Friday gives Crist 37 percent of the vote to Republican Marco Rubio's 32 percent. 

Democrat Jeff Greene is a distant third, polling at 17 percent in a three-way matchup, though he does outperform Rep. Kendrick Meek (D), who polls just 14 percent in a race against Crist and Rubio.

In a three-way race with Rubio and Meek, it's Crist who leads Meek among Democrats — 42 percent to 33 percent. When Quinnipiac last polled the general election June 9, Meek led among Dems — 44 percent to Crist's 37 percent.

With self-funder Jeff Greene as the Democratic nominee, the split among Democrats is closer, but Crist still leads 41 percent to 39 percent. 

On the heels of Thursday's Democratic primary poll, which had Greene up 10 points over Meek, Friday's numbers suggest Greene has made some inroads with Democrats over the past month, while Meek has slipped. 

But the Democratic primary is still marked by indecision, with a plurality of Democratic voters undecided. Friday's poll also found a full 64 percent of respondents said they don't know enough about either Meek or Greene to offer an opinion on them.

Meek is expecting some campaign help from President Obama in the coming weeks. White House Chief of Staff Rahm Emanuel is hosting a fundraiser for Meek in Washington on Monday. 

Meek said Wednesday that Florida Democrats are looking for some direction in the Senate primary and that White House involvement in his campaign will offer that.

According to Quinnipiac, Obama's approval in the state stands at just 46 percent.