A poll conducted for former Hawaii Gov. Linda Lingle’s campaign found the Republican would be in a tight race with either of her potential Democratic opponents in this Democratic-leaning state.

According to a polling memo from Jan van Lohuizen, the Voter Consumer Research poll found Lingle leading Rep. Mazie Hirono by 5 points and trailing former Rep. Ed Case by 1 point, which is within the 4-point margin of error. The survey of 600 likely general election voters was taken July 8-10.

The Republican’s poll also looked at the Democratic primary, in which Hirono took 40 percent to 39 percent for Case. Hirono, who is backed by the Democratic Senatorial Campaign Committee, has held wide leads in previous private and public polling. Hirono and Case will face off in the primary on Aug. 11.

Roll Call rates the general election race as Leans Democratic.