The internal survey of 400 likely Republican primary voters was conducted May 27 and 28 by John McLaughlin of McLaughlin & Associates. It carries a margin of error of +/-4.9 percentage points.
The survey comes the same day a Daily Caller poll conducted by Vox Populi Polling (R) on Monday showed Cantor leading 52-41 percent, with 9 percent undecided.
Brat, who has the support of some tea party activists frustrated with Cantor, has been a thorn in the second-ranking House Republican's side. Cantor is not taking him lightly and has hit him on TV.