(CNN) - Marco Rubio is widening his lead in the battle for an open Senate seat in Florida, according to a new poll.
A CNN/Opinion Research Corporation survey released Wednesday also indicates that the state's gubernatorial battle is deadlocked.
Forty-six percent of likely voters questioned in the poll say if the election were held today, they'd vote for Rubio, the former Florida House Speaker and the Republican's Senate nominee, with 32 percent saying they'd vote for Gov. Charlie Crist, a Republican who earlier this year dropped his bid for the GOP nomination and announced he would run for the Senate as an independent candidate, and one in five saying they'd cast ballots for Rep. Kendrick Meek, the Democrats' nominee.
Rubio's 14 point lead is up from an 11 point advantage in a CNN/Time/Opinion Research Corporation poll conducted late last month. Crist led the three-way contest in most state polls conducted over the summer, but Rubio has been on top in every survey conducted since the start of September.
Among the larger sampling of all registered voters, Rubio holds a 39 to 32 percent advantage over Crist, with Meek remaining at 23 percent.
The poll indicates that 51 percent of Democrats support Meek, with 44 percent backing Crist. Eighty-seven percent of Republicans support Rubio, with 11 percent backing Crist. According to the survey, 44 percent of independent voters support Rubio, with four in ten backing Crist and 13 percent backing Meek.
"Crist has a six-point margin among moderates, but Rubio is up by four points among independents," says CNN Polling Director Keating Holland. "What's the difference? About four in ten voters who support the Tea Party call themselves independents, and Rubio has an eight-to-one lead among that group."
The winner in November will succeed GOP Sen. George LeMieux, who was named last year by Crist to succeed fellow Republican Mel Martinez, who stepped down from the Senate.
In the battle to succeed Crist as governor, the poll indicates that 49 percent of likely voters back Republican nominee Rick Scott, with 46 percent backing Democratic nominee Alex Sink. Scott's three point advantage is within the poll's sampling error. Last month Scott held a two point advantage over Sink.
Among the larger sampling of all registered voters, the survey indicates that Sink has a 49 to 44 percent advantage.
"Alex Sink continues to pull much lower numbers among women than you would expect for a Democratic woman running against a Republican man," says Holland. "Sink has a 49 percent to 44 percent margin over Scott, but women usually fare much better than that among female voters. Her strength is among lower-income voters - she has a ten-point lead among voters who make less than $50,000 a year."
Scott, a millionaire former health care executive, topped Florida Attorney General Bill McCollum in last month's GOP primary. Sink, the state's chief financial officer, faced no serious opposition in the Democratic primary.
According to the survey, 55 percent of likely voters in Florida disapprove of the job President Barack Obama's doing in the White House, with 41 percent saying they approve of how he's handling his duties. The president's approval rating rises to 44 percent among a wider sampling of all Sunshine state adults, with 48 percent saying they disapprove.
The CNN/Time/Opinion Research Corporation poll was conducted October 15-19, with 1,505 adults in Florida, including 1,333 registered voters and 798 likely voters questioned by telephone. The survey's overall sampling error is plus or minus 2.5 percentage points, with a sampling error of plus or minus 3.5 percentage points for likely voters.
– CNN Deputy Political Director Paul Steinhauser contributed to this report