A poll conducted for Rep. Shelley Berkley found the Democrat running relatively even with Republican Rep. Dean Heller in a potential Senate matchup, the Las Vegas Sun’s Jon Ralston reported.

Ralston also reported that a Democratic source said Berkley remains “torn” over whether to give up a safe House seat to run in a competitive Senate race and that her decision will likely come in the next month.

Democratic pollster Mark Mellman surveyed 600 registered voters from March 13 to 15 and found Berkley leading 42 percent to 38 percent. The poll carried a 4-point margin of error.

“The survey also showed that approximately half of the electorate doesn’t have a fully formed idea of who Heller is, which from now on will be referred to as Heller’s Southern Problem,” Ralston wrote.

Heller lives in Carson City, and the most populous areas of his district are far from the state’s population base of Las Vegas.