Irwindale's city attorney requested the delay in hopes of settling with the attorneys for Huy Fong Foods, the maker of Sriracha.
About 100 supporters of the hot sauce, including Huy Fong Foods owner David Tran, rallied outside Irwindale's City Hall before Wednesday's meeting.
"Please make the chance to visit my place before you have a final decision," Tran said to a standing ovation at the meeting.
He added he won't make any changes until he gets a list of what city officials want and assurances it will be enough.
"We're not asking him to leave," said Terry Chico, an Irwindale resident. "Work together."
The controversy came about after neighbors complained fumes were causing their eyes and throats to burn.
If the council does deem the plant a nuisance, Huy Fong Foods would have 90 days to stop releasing the spicy emanations.
The Associated Press contributed to this report.