Around 15 caravans arrived over the weekend and are currently using around a third of the spaces.
Officials from the hospital say they are working with the police and Devon County Council to sort out the issue.
Buses are running as usual and there are extra parking spaces at the supermarket at Digby.
Re-elected PCC to prioritise ‘limbo’ chief constable situation
Key priority to secure a 'substantive' chief constable to lead D&C Police
Exeter Cathedral abseil raises over £50,000
They more than doubled their target
Moves made to avoid controversial estate management firms
East Devon agrees to kickstart a review into how it provides public amenities to new developments
Turnout for police and crime commissioner election drops as count continues
Just over a fifth of possible voters went to the poll for the PCC
How Exeter's traffic troubles influenced council vote
LTN campaigner ousts Labour candidate
Alison Hernandez secures third term as police and crime commissioner
She'll continue tackling major issues on her to-do list
