The application for the postponement was made before Mombasa High Court Judge Martin Muya by State Counsel Alexander Muteti on Wednesday.
Muteti requested for more time to ensure that thorough and complete investigations are carried out in the case which he described as ‘complex.’
Muya is expected to make a ruling on the deferment of the case this Thursday.
Timamy who is facing charges of terrorism, murder and forceful transfer of populations over the killing of over 60 people in Mpeketoni last month was present in court on Wednesday in the company of his lawyers.
READ Lamu Governor charged with murder, terrorism over Mpeketoni
READ Lamu Governor Timamy freed on bail
He was freed on a Sh5 million cash bail by the High Court in Mombasa on June 30 after spending a few days in police custody.
At the time, Muya ruled that the prosecution had not given sufficient reasons for Timamy’s continued detention.
The Governor was arrested in connection with the violence that rocked Mpeketoni in mid June leaving over 60 people dead.
Somalia’s Al Shabaab militants have claimed responsibility for some the attack while the government maintains it was politically motivated.
READ Lamu attacks political, not terrorism – Uhuru
A series of attacks have followed the initial killings.