"There will be police there around the clock."
The Lindholm facility will house rejected asylum seekers who have been convicted of crimes, as well as foreign citizens who do not have permission to stay but cannot be deported for legal reasons.
For example, some of those due to be detained at the facility are stateless, while others come from countries which do not have a readmission agreement with Denmark.
"They will not be imprisoned," Jensen told Danish news agency Ritzau.
"There will be a ferry service to and from the island, but the ferry will not operate around the clock, and they must stay at the departure centre at night. That way we will be better able to monitor where they are."
According to Danish news website The Local, opposition figures have strongly criticised the proposals, which one politician described as a "humanitarian collapse."
"The green government I want to lead would never force people on to a deserted island," said Uffe Elbæk, a prime ministerial candidate and leader of the Alternative party.
"Inhuman politics are creating a completely different Denmark to the Denmark I love," he added.
Morten Østergaard, leader of the Social Liberals, said the island facility was merely a "symbolic" gesture that would not tackle the root cause of the country's crime and immigration woes.
There are already two detention centres in Denmark for criminals and failed asylum seekers: Kærshovedgård and Sjælsmark.
Though nearly 87 per cent of the country's population is of Danish per cent, the number of migrants and refugees from non-Western countries such as Afghanistan and Syria has risen sharply.
This article originally appeared on the Daily Telegraph.