The judge said the trial must not be further delayed. He said: "The family must have closure."
Mr McCluskie lived in Peter Street, Hackney, east London, with his 29-year-old sister.
She went missing after attending the £650 million opening of the new Royal London Hospital in Whitechapel, east London.
Her limbless body was seen floating in the water a week later.
Miss McCluskie played Kerry Skinner in the BBC soap in 2001.
The defendant joined friends who launched extensive searches across east London to find her.
Former EastEnders co-stars Natalie Cassidy and Brooke Kinsella both appealed on Twitter for help.
More top news
London Ambulance Service has more paramedic job vacancies than anywhere else in England.
Hundreds of people march for more affordable homes and control private rents in London.
Police proposals suggest that all frontline police officers should have the option of arming themselves with Tasers.