The plan Cross announced Thursday calls for tapping $1 million in cash reserves to pay for the classes. UW System spokesman John Diamond says Cross plans to present it to the Board of Regents in two weeks.
The state budget allowed high school students to enroll in up to two courses from qualified higher educational institutions at a time, with school districts picking up the cost.
The plan Cross unveiled would only cover UW courses.
Gov. Scott Walker and state superintendent Tony Evers, who is also a UW regent, each voiced support for Cross's funding plan in prepared statements.