About 50 people were on board the bus, which overturned in the ditch on E4 in the height of Tallboda in Linköping during Thursday afternoon.
At least 13 people will be taken to the hospital for control, according to the rescue service. Three people are described as very seriously injured.
Linköping University's press service tells TT that it is a hired campus bus that students and employees can ride with. The university's crisis management has been activated and has held a first meeting.
We have been able to establish that it is a Liu bus and thus we know that it is about those affected from us, both students and employees, says press chief Anna-Karin Thorstensson.
The university will arrange a gathering place to provide support and care to those affected.
This type of event always causes concern and we inform to the extent we can in our internal channels to our students and employees, says Anna-Karin Thorstensson.
The police cannot provide the age of the injured at the moment.
The bus will be salvaged, which may take several hours.
We will investigate the accident to see how it happened, says the police's press spokesperson Olle Älveroth.
One of the passengers who escaped unharmed describes the bus journey to the newspaper Corren as normal until the accident occurred.
The rescue service reported just before 5 pm that the situation at the scene has calmed down and that the operation has been completed. They also state that traffic can soon be released at reduced speed.
The alarm about the accident came at 3:45 pm.
