(CNN) - Republican Marco Rubio has taken the lead in Florida's three-way battle for the Senate, according to a new poll. The CNN/Time/Opinion Research Corporation survey also indicates that the state's gubernatorial battle is dead even.
According to the poll, released Wednesday, 42 percent of likely voters in the Sunshine State now support Rubio, the former Florida House speaker. Thirty-one percent are backing Gov. Charlie Crist, who earlier this year dropped his bid for the GOP nomination and announced he would run for the Senate as an independent candidate.
Twenty-three percent of people questioned say if the election were held today, they'd vote for Rep. Kendrick Meek, the Democratic nominee, with another three percent undecided.
Crist led the three-way contest in most state polls conducted over the summer, but Rubio has been on top in every survey conducted this month.
The CNN/Time survey indicates Rubio leads Crist 38 to 31 percent among a larger sampling of registered voters, with Meek at 25 percent. Rubio's seven-point margin is up from a two-point advantage in a CNN/Time poll conducted at the beginning of the month.
"Crist had a lead among independents at the start of the month, but Rubio now appears to have the edge among this key group," CNN Polling Director Keating Holland said.
"And with Meek holding a majority of the vote among Democrats, that narrows Crist's options heading into the final turn."
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 47 percent of likely voters back Republican nominee Rick Scott, with 45 percent backing Democratic nominee Alex Sink.
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.
Among all registered voters, the CNN/Time poll indicates Sink holds a one-point advantage, down from seven points earlier this month.
According to the poll, 50 percent of independent voters likely to cast ballots in the general election say they back Scott, with 37 percent supporting Sink.
"But the real surprise is the lack of a gender gap in this race," Holland said.
"Despite the fact that a Democratic woman is facing a Republican man, there is little or no difference between men and women voters. Sink may need to make a better effort to introduce herself to women voters in Florida."
The CNN/Time/Opinion Research Corporation poll was conducted Sept. 24-28, with 1,505 adults, including 1,352 registered voters in Florida and 786 likely voters, questioned by telephone.
The survey's sampling error is plus or minus 2.5 percentage points for registered voters and plus or minus 3.5 percentage points for likely voters.
– CNN Deputy Political Director Paul Steinhauser contributed to this report