Trollip says coalition council has resolved decades of impasse with workers.
The EFF insists that its motion of no confidence in Trollip has not been withdrawn, and the party is confident of a win.
The previous two sittings descended into chaos and were adjourned.
The DA believes it has quashed the EFF's vote of no confidence in the Nelson Mandela Bay mayor indefinitely, but the EFF and ANC are considering options.
The Nelson Mandela Bay municipal council chamber devolved into a shouting match on Tuesday, before the no-confidence debate was again called off.
Nelson Mandela Bay municipality speaker Jonathan Lawack permanently adjourned a sitting to vote on a motion of no confidence in mayor Athol Trollip.
If an African liberalism is to be forged, it needs to speak to the lived realities of people.
A vote to expel Nelson Mandela Bay mayor Athol Trollip through a motion of no confidence is expected to be held on Tuesday.
"Next year we don't have a choice. We better be a government right here in Gauteng. Forward DA, forward," said Mmusi Maimane at the DA's Federal Congress.
The only contentious leadership position will be decided on Sunday when Athol Trollip and Solly Msimanga goes head to head for the party's chairpersonship.