Samantha Novak was found face-down in a river near the southwest English city of Bristol in 1985. A coroner's report said the 21-year-old tumbled off the riverbank after a night out with friends.
Avon and Somerset Police said on Wednesday the force is making fresh inquiries into the case after the mother of a convicted killer's victim gave police a new lead.
Police said the mother of Penny Beale - who was killed by her partner Michael Moffat in 2001 - told police her daughter had said Moffat was involved in the murder of Novak.
Moffat, 47, was jailed for 11 years for brutally murdering Beale in East Sussex.
Bassey, 73, has maintained that Novak's death was not an accident or suicide. Novak's father was Sergio Novak, Bassey's second husband.
In October Bassey told reporters she always had suspicions about her daughter's death.
"I never believed that she killed herself. If she'd jumped off the bridge, all her bones would have been broken," she said.
The Welsh singer is best known for the theme songs to several James Bond movies including Goldfinger and Diamonds Are Forever.
Her recording career started in the 1950s and she has been performing ever since.
