PC Matt Lannie, 40, died in a collision on Nether Lane, Ecclesfield, at around 1pm on Tuesday, April 21.
His marked police motorcycle was involved in a crash with a Toyota Avensis, which was driven by a 64-year-old man.
PC Lannie, who was born in Sheffield, was responding to a call about a silver BMW which had failed to stop for police officers.
Speaking at the inquest, Assistant Coroner for South Yorkshire Abigail Combes said that further enquiries into PC Lannie’s death were necessary and adjourned to the short inquest court on July 28.
“I would like to offer my sincere condolences to PC Lannie’s family and friends,” Miss Combes said during today’s brief hearing.