Jose Alfredo from California had checked in a hotel in Vidhyadhar Nagar locality with his Indian friend Ankit on January 7.
He was staying in a room on the 4th floor and allegedly jumped to death from the room's window around midnight, police said.
"Prima facie, it is a case of suicide but we are quizzing his friend to ascertain why he took the extreme step," the police said.
The body was shifted to Swai Madho Singh Government Hospital and US Embassy officials have been informed, they said, adding, the post-mortem will be conducted in the presence of the Embassy officials.