(CNN) - With just over two weeks until a special primary election to fill the late Sen. Ted Kennedy's seat, a new poll indicates that Massachusetts Attorney General Martha Coakley has a solid lead in a four-way battle for the Democratic nomination.
But a Boston Globe survey released over the weekend also suggests that nearly three out of four people likely to vote in the primary say they are undecided, or are learning towards a candidate but could change their minds.
According to the poll, 43 percent of people questioned said they would vote for Coakley to succeed temporary Senate replacement Paul Kirk if the primary were held today, with 22 percent backing Rep. Michael Capuano, 15 percent supporting Boston Celtics co-owner Steve Pagliuca and 6 percent backing City Year co-founder Alan Khazei.
The survey indicates that Coakley has the highest favorability rating among the four candidates, the best known name recognition, the seen as the most qualified and most likely to win.
"Things could change, but it would have to go really sour for her over the next few weeks," Andrew E. Smith, director of the Survey Center at the University of New Hampshire, which conducted the poll, told the Boston Globe.
The primary is scheduled for December 8 and the general election on January 19. State Sen. Scott Brown is considered a leading Republican in the contest. Jack E. Robinson is also in the Republican race.
Long time Kennedy adviser and friend Paul Kirk is serving as an interim replacement in the Senate.
The Boston Globe poll was conducted November 13-18, with 537 likely Democratic primary voters questioned by telephone. The survey's sampling error is plus or minus 4.4 percentage points.
–CNN Deputy Political Director Paul Steinhauser contributed to this report
Follow Paul Steinhauser on Twitter: @psteinhausercnn