Tuesday City Council meeting to release his 2017 budget proposal, but the Mayor's Press Office would not comment on whether that was to be taken as a sign that a deal will be reached.
Nonetheless, union leaders said teachers will "make our presence felt" with protests at the City Council budget address if a strike is called.
With schools closed Monday for Columbus Day, Lewis said the union would call a strike "if we can't make headway by Monday night" in order to give parents notice of whether they can expect teachers in school Tuesday.
"On the eve of a potential strike, Emanuel needs to hear that parents are behind the teachers and will hold the mayor accountable for a walk out," Parents 4 Teachers said in a news release.
"Although Emanuel continues to insist CPS is broke and can't afford to fund the classroom improvements Chicago teachers want in their contract, an ordinance sponsored by 39 aldermen would provide new school funding that could avert a strike." Teachers have been working without a contract since the middle of last year.