Any strike action could coincide with that of teachers Union leaders are to hold talks at the Cabinet Office as civil servants start voting on whether to take strike action over government spending cuts.
The talks come amid the threat of industrial unrest over plans to cut jobs, freeze pay and reduce pensions.
The Public and Commercial Services (PCS) union is to ballot 250,000 civil servants from Wednesday.
Its leader warned that more than 750,000 workers could join a 24-hour joint-union walkout on 30 June.
The PCS’ action could be co-ordinated walkouts with teachers, lecturers and other workers.
Union officials said talks with the government were reaching a crucial stage, with an announcement on public sector pensions expected next month.
The annual conference of the Communication Workers Union unanimously backed calls for the TUC to co-ordinate a nationwide walkout.
Delegates at the Bournemouth conference also agreed to moves aimed at co-ordinating campaigns and strikes with other unions.
Leaders of the University and College Union have warned of strikes, while both the National Union of Teachers and the Association of Teachers and Lecturers began balloting members for strikes last week.
If the motion is passed, action is likely to affect millions of children at virtually every school in England and Wales.
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