Nearly 34 tonnes of illicit products were seized at the Port of Dover - the highest monthly total.
Dover Port Health Authority says "improved facilities" for staff at the port "cannot wait".
The new facility will open in 2026, replacing Tides Leisure Centre which was built in the 1980s.
A public meeting to discuss the proposal is due to be held at Hougham Village Hall on Tuesday.
Services are starting to move into the Dover Discovery Centre from Monday, Kent County Council says.
Dover District Council says locals can "explore the history on their doorstep for free".
A Parliamentary select committee has urged for change to avoid an outbreak of foot-and-mouth disease.
Dover District Council will hold a ceremony at The Bench, part of the Dover Beacon project.
Tombstoning involves jumping off cliffs, piers or other high points into water.