The outlet reported, citing court documents that the Malmo court ruled that no legal reason existed to satisfy the young man's plea not to be extradited to Denmark.
The court additionally ruled to arrest the Swede due to fears that if released on bail, he would destroy important evidence related to the bombing.
Swedish authorities are still searching for the second suspect, also a Swedish citizen.
On August 7, a powerful blast hit the tax office in the Danish capital, leaving one person slightly injured. Following the incident, police said that the attack was deliberate. On Tuesday, the suspect was detained on behalf of Denmark.