A new poll less than a week before Boston’s preliminary mayoral election showed City Councilor John R. Connolly with a slight lead over a crowded field.

The poll by Suffolk University for the Boston Herald found Connolly with 16 percent of the vote. Suffolk District Attorney Daniel F. Conley and state Representative Martin J. Walsh tied for second in the poll with 12 percent.

Former city housing chief Charlotte Golar Richie finished just behind them with 10 percent, a significant jump from the last Suffolk University/Boston Herald survey in July.

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The survey found that just 19 percent of voters were undecided, a substantial drop from other public polls. The poll of 600 likely voters was taken over six days from Sept. 12 to 17. It has a margin of error of plus or minus 4 percent.

The next cluster of candidates included City Councilor Rob Consalvo with 8 percent, and former health care executive Bill Walczak and City Councilor Felix Arroyo, who were tied at 6 percent.

The poll found that City Councilor Michael P. Ross had 5 percent of the vote, followed by former School Committee member John Barros at 3 percent.