Libby Squire went missing after a night out with friends in Hull.
The 21-year-old's body was found in the Humber Estuary last week.
A post-mortem was due to take place this afternoon.
It was taken shortly before she went missing on February 1.
This comes after detectives were granted an initial 36-hour extension on Friday.
Hundreds of calls have been made to Humberside Police following the disappearance of the 21-year-old last Friday.
Squire, 21, was last seen on Thursday night. Her family said her disappearance is "very out of character".