A new poll out Thursday shows Republican Marco Rubio surging to a double-digit lead in the state's three-way Senate race.

The Sunshine News/Voter Survey Service poll found:

Marco Rubio (R)                                 43 percent
Gov. Charlie Crist (I)                         29 percent
Rep. Kendrick Meek (D-Fla.)           23 percent

The poll, conducted by Susquehanna Research, surveyed 1,016 likely voters and has a margin of error of 3 percent. 

The numbers show Rubio and Crist running even among independent voters. Rubio has 38 percent support among independents to 36 percent for Crist.

But among Democratic voters, it's Meek who leads with 45 percent of the vote to Crist's 35 percent. It's a slight improvement for Meek among Democrats, which could mean trouble for Crist down the road.  

Crist has doubled down on his efforts to woo Democratic voters and donors since the August 24 primary while Meek has worked to paint Crist as a conservative in the mold of Rubio.  

A CNN/Time poll out yesterday had Rubio and Crist in a dead heat, but it polled registered voters rather than likely voters.