The 29-year-old is charged with sexual assault against a woman on an airplane and for a lesser degree of abuse, where the victim was not physically harmed, the magazine writes.
The Danish was arrested on July 29 at Heathrow Airport in London when he landed with a flight from the United States.
Olesen would have played the Europatour competition Scandinavian invitation in Gothenburg next week, but is suspended from the Europatour while the legal process is ongoing.