The ministry of research and education's page about their project to develop the job market for bscs.: https://ufm.dk/uddannelse/videregaende-uddannelse/fleksible-...
It's not like its impossible to get a job with a bachelor. Almost all companies and institutions will just automaticity look for master graduates, and you might have to educate them about the benefits of getting the same capabilities for a lower pay.
One issue you might encounter is that Danish IT companies are obsessed with hiring people with a masters, even if the job doesn't even require a B.Sc. Most of the jobs in the industry could be fulfilled by people from trade-schools or other shorter educations. Companies just seem to have this idea that they need engineers or people with a masters in computer science, even if their product is just some CRUD application.
Also how much is a masters degree even worth after a handful of years of relevant experience anyway? Not much...