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The poll goes a long way in explaining why national Democrats haven't been willing to show any support for Dill. The Democratic Senatorial Campaign Committee didn't even release a statement congratulating Dill on her primary win, and Chairwoman Patty MurrayPatty MurrayDems unveil bill targeting LGBT harassment on college campuses Trump said he would create ‘more jobs and better wages’ — he can start with federal contractors Sanders, Dems introduce minimum wage bill MORE (D-Wash.) refused to tell The Hill which candidate she was backing in the general election last week.

While King has adamantly refused to say which party he'd caucus with, both parties expect he'll caucus with the Democrats should he win.

The poll of 506 likely voters was conducted by the think tank MassINC from June 13-14 and has a margin of error of 4.4 percentage points.