The accident happened at the New Town junction with Framfield Road at about 6.25am.
It involved a white Vauxhall Astra and a bicycle. The cyclist, a 47-year-old man from Uckfield, was described by police as suffering “a minor injury”. He was taken to Eastbourne District General Hospital.
The car driver, a 55-year-old man from Uckfield was uninjured.
Anyone who saw what happened is asked to contact Sussex Police on firstname.lastname@example.org, quoting serial 170 or 07/04.