"Of course, if it does show individuals who are possible suspects, we will do our best to identify them and may even put it out with our Crime Stoppers information.
"But it is still very early on in our investigation." Vanic said Keane gave police a statement and they would interview her again if needed.
Allenby was drinking with friends at the upmarket Muse wine bar in Waikiki on Friday night and believed he was drugged, bashed in the face with a fist or baseball bat, tossed in the boot of a car, robbed and then dumped in a park 10km away.
Keane, however, said she found and helped Allenby a short distance away from Muse.
Vanic said robberies similar to the way Allenby described were not common in Honolulu, a popular destination for tourists from Australia and around the world.
"Honolulu is a big city and there are tourists who, unfortunately, are victims of a crime, but it is not something that happens very frequently in Honolulu," Vanic said.
Allenby was in Hawaii to compete in the PGA Tour's Sony Open, but missed the halfway cut on Friday.
Allenby, whose face was badly cut and bruised, announced on Tuesday he would not play in this week's PGA Humana Challenge event in La Quinta, California, on the advice of his doctor.
"This will enable me to ensure I am fully recovered prior to rejoining the PGA Tour," Allenby said in a statement."I anticipate a full recovery and look forward to returning in the near future."