The spokesman said that University of Mississippi sophomore Benjamin Milley, 20, was not ready to talk publicly but was in contact by telephone with his family. The spokesman said he was accompanied by friends at the hospital.
The official spoke on condition of anonymity in keeping with hospital rules.
Milley suffered several wounds, including a 40-cm (16-inch) goring in the thigh, when he was caught by a fighting bull during a festival in the nearby town of Ciudad Rodrigo on Saturday.
Milley was operated on for nearly three hours before being taken to the Salamanca hospital.
Fiestas featuring bulls are common in Spain and many people are injured each year. Spain's most famous bull-running event is in the San Fermin festival in Pamplona in July.
In the runs, people test their bravery and speed by dashing ahead of the beasts through the streets to a town's bull ring.
Towns normally have special medical units ready to attend those injured in the festivals.
