"One of the things we talk about in these no-deal meetings concerns hauliers and their activities," the minister said.
"The main thing is whether they will turn up at the Channel ports with the right paperwork. But there are also dogging hotspots all over the place."
There are fears that Kent will face months of congestion due to delays at ports in the event of a no-deal Brexit. However, none of the UK government's official documents on the matter mention the possibility of a surge in "dogging".
The minister is worried the delays on transport links to Dover could lead to a rise in the activity.
"Do Europeans even do dogging?" he reportedly added.
"There is something deeply British about dogging."