An agreement appears to have been reached between the University of Minnesota and the union representing its clerical, technical, and health-care workers, who have been on strike since early this month.

The university’s president, Robert Bruininks, said in a short statement on the institution’s Web site that the strike was over and workers would be back on the job as early as tomorrow.

The workers, represented by the American Federation of State, County, and Municipal Employees, will vote on Minnesota’s settlement offer in the coming weeks, the university said in an online update about the strike. The union represents about 3,000 workers, about one-third of whom walked the picket line over pay.

Representatives of the union could not be reached this afternoon. But its strike hotline told workers not to report to the picket line, or to work, and announced that a morning rally had been canceled. A meeting to update workers on negotiations was held today at strike headquarters. The strike began on September 5, and talks resumed on Thursday.

The university’s offer includes wage increases of 8.5 percent for clerical workers and 9 percent for health-care workers stretched over the two years of their contract. In addition, it offers lump-sum payments to workers each year of the contract. —Audrey Williams June