Senate President Bukola Saraki presided over a three-hour closed-door meeting with the officials of the union.
Saraki did not, however, speak with journalists after the crucial meeting.
The Chairman, Senate Committee on Tertiary Education and TETFund, Senator Jibrin Barau, who addressed journalists, said the Senate could not stop the warning strike.
He, however, said its intervention would prevent the strike from transforming to an indefinite action.
Barau added that the Minister of Finance, Mrs. Kemi Adeosun, had been asked to attend a meeting of a committee comprising officials of ASUU and the ministries of education and labour on Thursday.
The meeting on Wednesday was also attended by the officials of the Ministry of Education as well as representatives of the Ministry of Labour and Productivity.
The Minister of Education, Adamu Adamu, who was absent at the meeting, was represented by the Minister of State for Education, Prof. Anthony Anwuka.
Barau said the lawmakers had a “fruitful deliberation” with the striking lecturers, adding that “a way forward has been found” and that “the issues will soon be resolved.”
He admitted that the warning strike would continue while the Senate worked towards preventing the lecturers from embarking on a total strike.
The senator announced that a sub-committee, made up of representatives of all the stakeholders had been set up while the panel would continue with the roundtable discussions on Thursday.
He said what the Senate had done was to create a template for dialogue, describing an end to the crisis as “a work in progress.”