Two athletics-department employees at Florida State University have resigned and 23 athletes may have cheated on tests given over the Internet, the Associated Press reported late Wednesday.

Those are among the findings of an internal investigation ordered by the university’s president, T.K. Wetherell, and reported to the National Collegiate Athletic Association, the news agency said. While the inquiry is continuing, it has not found conclusive evidence of a more widespread pattern of cheating, the AP said, citing a university report on the investigation.

The accused athletes could face a number of punishments from the university and NCAA, including the loss of eligibility to compete. The NCAA also could sanction the university. A spokesman said that the association was awaiting further information and that discussion of penalties was premature.

Mr. Wetherell ordered the investigation in May after receiving allegations that a learning specialist employed by the athletics department had directed one athlete to take an online quiz for another, and that a tutor had provided answers or other unethical assistance to 23 students for online tests. —Charles Huckabee