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A new poll shows a reduction in the number of undecided voters in the Senate race between Scott Brown and Elizabeth Warren.

By Glen Johnson Globe Staff

Consider this as you brace for a multimillion-dollar US Senate race this fall that hijacks the commercials amid your favorite TV shows, fills the newspaper, and is propelled by verbal barrages between Republican Scott Brown and Democrat Elizabeth Warren.

With six months to go, only 5 percent of voters are undecided and able to be convinced by it all.

That was one eye-catching finding overnight from the latest Suffolk University/WHDH-TV poll about the race.

Brown and Warren were in a statistical tie, with the incumbent senator at 48 percent and the Harvard Law School professor at 47 percent. That is not necessarily good news for Brown, since he clearly led Warren 49 percent to 40 percent in a similar Suffolk/7News poll in February.

At that time, though, the number of undecided voters was 9 percent. Now, after both candidates have begun advertising and the campaign has been filled with talk of basketball shots and Native American heritage, the size of the undecided vote has fallen to 5 percent.

That means opinions are calcifying even before the worst of the head-to-head campaign begins. And that is a reflection of omnipresent news coverage from an array of digital sources, as well as the intensity of passion by voters favoring a check-and-balance on the state’s Democratic congressional delegation.

It also reflects the passion of those opposed to the Republican who replaced a Democratic icon, the late Edward M. Kennedy, in the US Senate.