She was held on 4 June alongside 35-year-old musician Mike GLC after they went to a police station in central London by appointment.
They were due to answer police bail on Wednesday and will now return in early December.
The arrest followed allegations by The Sun newspaper that the former N-Dubz singer introduced a journalist to an alleged drug dealer and that half an ounce of cocaine changed hands as a result of the alleged deal carried out at London's Dorchester Hotel.
Both Tulisa and Mike GLC were arrested on suspicion of being concerned in the supply of class A drugs.
Mike GLC, who will also answer bail in late October, has insisted that he and the singer are innocent.
Speaking outside Belgravia Police Station after their arrests, he said: ''We are innocent. We haven't been charged. 'I am not a drug dealer. I have never sold drugs in my life.''
Tulisa's spokesperson declined to comment on Wednesday.
The singer was dropped from the X Factor panel this year and was replaced by returning judge Sharon Osbourne.