Originally Published: 12 OCT 22 14:31 ET

By Jennifer Agiesta, CNN Polling Director

(CNN) -- Sen. Raphael Warnock continues to hold an advantage over Herschel Walker in Georgia's US Senate race, according to a new poll from Quinnipiac University, with the margin between the two candidates little changed compared with polling conducted before allegations emerged that Walker paid for a woman's abortion and encouraged her to have another one.

The survey, which was conducted after the allegations about Walker emerged last week, finds Warnock with 52% support among likely voters to 45% for Walker, about the same as in a mid-September poll. Walker's favorability rating has shifted narrowly more negative, from 51% saying they held an unfavorable view of him in September to 55% now. Warnock's favorability rating is unchanged.

Voters broadly say that Walker is not honest (57% feel that way, including 96% of Democrats, 63% of independents and 16% of Republicans), and 58% feel he does not have good leadership skills. Majorities say Warnock is honest, by contrast (54% overall, including 93% of Democrats, 58% of independents and 14% of Republicans), and that he does have good leadership skills (57%). More also see Warnock as caring about average Georgians (57% say Warnock does vs. 46% saying Walker does).

The race between Walker and Warnock is one of the most competitive Senate contests this midterm cycle, and is key to control of the evenly split chamber.

Last week, the Daily Beast reported that Walker, who has opposed abortion rights during his campaign, had reimbursed a woman with whom he was in a relationship for a 2009 abortion. Additionally, The New York Times reported that he asked her to get the procedure again when she became pregnant two years later; she refused the second time.

CNN has not independently confirmed the woman's allegations.

The Republican has repeatedly denied the allegations made in the reports, including in a Tuesday interview with ABC. "Yes, she's lying," he told the outlet.

Georgia's gubernatorial contest is also largely unchanged from Quinnipiac's prior polling on it and suggests there is no clear leader in the race, with 50% behind incumbent Brian Kemp and 49% backing Democratic challenger Stacey Abrams.

The survey of 1,157 Georgia likely voters was conducted October 7-10 by telephone and has a margin of sampling error of plus or minus 2.9 percentage points.