Barger said polls show that 98 percent of the association's approximately 10,500 members favor a four-day work week.
State agencies already have some flexibility to let employees telecommute or establish other "alternative work periods," said Office of Personnel Management executive director Oscar Jackson.
"The four-day work week is relatively new," Jackson said, adding that he highlighted the proposal in a memo sent recently to agency directors.
To make the four-day week work, agencies would have to determine whether they could close for one day each week or would have to develop a rotational assignment for employees that would allow the office to remain open five days a week.
"There may, in fact, be some decisions over the next few weeks or months to determine whether or not a four-day work week for their particular agency would be appropriate," Jackson said.
Among the chief concerns is how 10-hour work days would affect child-care options for parents.
Copyright 2008 The Associated Press.