PC Matt Lannie, aged 40, died when the police motorbike he was riding was involved in a collision with a car on Nether Lane, Ecclesfield, on Tuesday afternoon.
The popular and respected officer was responding to reports of a car failing to stop for officers when tragedy struck.
He was pronounced dead a short time after the collision.
A book of condolence is available for colleagues to sign and South Yorkshire Police is now collating messages from members of the public.
The force said: “We have been overwhelmed by the number of messages of love, condolence and support we have received.“A book of condolence is already in place for Matt’s colleagues to sign, but due to the current restrictions in all of our lives, it is not possible for us to do the same for those outside the force who wish to pay their respects. “Instead, we would like to invite friends, former colleagues and members of the public to send their messages to a dedicated email address, so they can be shared with Matt’s family.“We would encourage you to include memories of Matt and photographs of him if you wish.“We would like to thank everyone who has contacted us already, your messages have offered great comfort to those who are coming to terms with the loss of a much loved colleague and friend.”
Emails should be sent to [email protected]