The Boston Teachers Union has not decided whether it will endorse John R. Connolly or Martin J. Walsh in the mayoral final election Nov. 5, after the union’s two favorite candidates lost in the preliminary race.

“It’s too early to tell,” Richard Stutman, the union president, said today, noting that the group’s leaders will have internal discussion on whether to formally back a candidate.

But Stutman added, “We are interested in someone who wants to promote public education.”

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The elevation of both Connolly and Walsh creates a quandary for the teachers union, which adamantly opposes more charter schools. Both candidates support increasing a state-imposed cap on the number of charter schools that can operate in the city. Charter schools rarely employ unionized teachers.

But Stutman said the union may overlook that issue as it analyzes each candidate’s proposals to improve the city’s public school system.

“We are not going to rule anything in or out here,” he said.

The union made headlines last week when it endorsed two mayoral candidates, City Councilors Felix Arroyo and Rob Consalvo, just days before Tuesday’s preliminary vote. It marked the first time in more than two decades that the union endorsed a mayoral candidate.

Speculation ran rampant on whether the union, which has more than 5,000 members living in the city, could influence the outcome of the preliminary race. But neither Arroyo or Consalvo came close to winning one of the two top spots.