The poll, conducted by YouGov for the UMass Lowell Center for Public Opinion, shows Sanders with 21 percent of likely Massachusetts Democratic Primary voters' support, followed by 20 percent for Warren.
Former South Bend, Indiana Mayor Pete Buttigieg came in third place with 15 percent, followed by former Vice President Joe Biden at 14 percent, former New York Mayor Mike Bloomberg at 12 percent, and Sen. Amy Klobuchar at 9 percent.
The poll sampled 450 respondents, and Sanders' one-percent lead is well within its 6.1 percent margin of error.
It also surveyed respondents on their preference for the Massachusetts Senate race, with Rep. Joe Kennedy III at 35 percent to Sen. Ed Markey's 34 percent, with 23 percent undecided and 8 percent saying they supported another candidate.
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