Council chiefs have pledged to look at introducing 20mph limits on seafront roads.
More than 120 people have signed a petition asking for the restrictions in King’s Esplanade, St Aubyns South and Medina Terrace in Hove.
The local authority said it would consider the request.
Ward councillor Christopher Hawtree, who presented the petition, said: “This is all about the seafront cycle lane.
“We cannot improve the cycle lane until we get the limits right.”