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Coakley is leading in a new poll.

(CNN) – Massachusetts Attorney General Martha Coakley holds a clear lead in that state's U.S. Senate Democratic primary contest, according to a new poll out Thursday.

The Suffolk University/WHDH-T.V. survey of likely primary voters shows Coakley at 44 percent, more than the support of all her competitors combined. Boston Celtics co-owner Steve Pagliuca stands at 17 percent,

Rep. Michael Capuano is at 16 percent, and Boston businessman Alan Khazei registered 3 percent in the survey.

But the race isn't necessarily over: 20 percent of likely voters remain undecided, and more voters say Pagliuca is running the best campaign.

On the Republican side, State Sen. Scott Brown has a big lead over Jack E. Robinsion, 45 percent to 7 percent. Nearly 50 percent of voters remain undecided.

The primaries - to determine who will vie to fill the seat long held by the late Sen. Ted Kennedy - are set for December 8.

The poll surveyed 600 Massachusetts residents AND was conducted from November 4-8. It has as has a margin of error of plus or minus 4 percentage points.

Follow Alex Mooney on Twitter @awmooneycnn