The workers are angry over the failure of government to implement the agreement it reached with them during the strike.
They are also unhappy with the rate government is giving approvals for establishment of new universities, saying resources should be concentrated on raising standard of existing ones.
In a statement on Thursday, the workers urged Nigerians to persuade the federal government to implement the agreement so as to avert the resumption of the suspended strike.
Their gesture was on the basis that the Nigerian government will immediately implement the agreement reached with them.
Before suspending the strike, Samson Ugwoke, the national chairman of the Joint Action Committee of the three unions, at a press briefing on March 13 had warned the unions would not hesitate to resume it if government reneged on the agreement.
But the statement on Thursday signed by Mr Ugwoke and spokesperson of SSANU, Abdussobur Salaam, the unions said said Nigerians should not blame them if they resumes the nationwide industrial action.
They decried the reluctance of the federal government to implement the Memorandum of Understanding seven weeks after it was signed by the two parties.
According to the statement, SSANU at its 33rd Regular Meeting on May 10 and May 11 at Bayero University Kano, deliberated extensively on critical issues affecting the union, the educational sector, university sub-sector, and the nation as a whole.