The workers could go on strike over equal pay compensation payments, following the most recent ballot.
97 per cent of members voted for strike action, on an average turnout of around 50 per cent across various consultative ballots.
More than 8000 Unison members were consulted.
What is Unison saying?
Lyn Marie O'Hara, Unison branch officer, said: "This is a very clear vote for strike action. The Unison branch will now request formal statutory strike ballots from our NEC. We will be co-ordinating our strike campaign with our sister trade unions in the city.
“Thousands of workers, overwhelmingly women, were paid out in 2019 because their pay was unequal - nothing has changed since then, it’s still unequal. The same jobs in the same unequal pay scheme. Yet the council is now refusing to pay up and trying to exclude many jobs. The council’s actions are a cynical ploy to divide trade unionists. UNISON members won't be fooled. Gender discrimination continues in Glasgow.
“Our clear demand is don't dump the 2019 deal. The council should be under no illusion that if they continue with their current approach, that strikes will once again be coming to their door. "