Texas Attorney General Greg Abbott (R) holds a 6-point lead over Texas state Sen. Wendy Davis (D) in their race for governor, according to a new poll.

Abbott leads Davis 40 percent to 34 percent in the poll, from the University of Texas and the Texas Tribune.

Davis became a favorite of national Democrats following her filibuster of a law to limit abortion rights in Texas, and the poll shows she's better known than he is by the voters. She faces an uphill battle to defeat the well-funded Abbott in the heavily Republican state.

The poll of 1,200 registered voters was conducted from Oct. 18-27 and has a margin of error of plus or minus 3.3 percentage points.