Filner has vowed to remain the leader of the nation's eighth-largest city, saying his focus after therapy "will be on making sure that I am doing right by the city in terms of being the best mayor I can be."
Filner's spokeswoman Lena Lewis and lawyer James Payne did not respond to calls.
Steve Erie, a political science professor at the University of California, San Diego, believes Filner's resignation is part of the settlement discussions. However, Filner would benefit from waiting it out, Erie said, since his pension would spike after serving a year, which would be in December. He also may be trying to shed financial responsibility for the lawsuit.
"As long as he doesn't resign, he has leverage," Erie said. "So stay tuned."
Filner's accusers have included a university dean and a retired Navy rear admiral. Some contend he cornered, groped and forcibly kissed them.
Filner served 10 terms in Congress before being elected mayor in November. The feisty liberal has long had a reputation for berating employees and has been dogged by rumors of inappropriate behavior toward women. But nothing in his past approaches what has surfaced in the past six weeks.
Recall organizers must collect 101,597 signatures of registered San Diego voters by Sept. 26. If the petition has fewer than that, the recall campaign will have 30 more days to circulate a supplemental petition to gather additional valid signatures.
If enough signatures are validated by the city clerk, the petition will be presented to the City Council, which must schedule an election within 60 to 90 days.
Gloria would be acting mayor if Filner resigns.
Associated Press writer Kenneth Thomas in Washington contributed to this report.
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