The text messages were sent toward the end of January while the future teacher was carrying out a traineeship at a middle school, the Metro newspaper reports.
In the messages, the 35-year-old teacher-in-training suggested that he and the 15-year-old girl shower naked together.
He also proposed that the girl come over and test out his bed.
The suggestive text messages were eventually reported to police, but the report only came to the attention of officials at Södertörn University in Stockholm after the man had received passing marks for the traineeship.
The 35-year-old has since been charged with sexual molestation, but even if he is convicted, he will still likely find himself licenced to teach in Swedish schools.
“As it looks now, he’s going to get his teaching licence,” the university’s Lisa Öberg told the newspaper.
While the man has admitted to sending the messages, he claimed they were sent as a joke.