It is this group that is judged to be at the greatest risk of infection, according to the Danish Board of Health.
"Unfortunately, we have a rising number of people infected with monkeypox in Denmark.
We would very much like to push back the infection and protect those who are most at risk," says the Swedish Board of Health's deputy director Helene Probst in a press release.
The risk of infection is not linked to gender or sexual orientation, but monkeypox is transmitted through close physical contact.
So far, 126 people in Denmark have been found to be infected with monkeypox since May 23, when the first case was discovered.
In Sweden, roughly 70 cases of monkeypox have been confirmed up until mid-July this year, reports the Public Health Authority.
The National Board of Health expects that Denmark's new vaccination strategy can begin to be applied by the end of the week.