Hi,
In general, to receive unemployment benefits you need to stay in the country which pays your benefits. However, under certain conditions you can go to another EU country to look for work and continue to receive your unemployment benefits from Denmark.
First of all you must be member of an danish A-kasse (see special rule for graduates). Secondly you must be an EU/EEA citizen. Denmark has together with UK - as the only EU countries - a special restriction for Nationals of non-EU/EEA countries on the right to transfer Unemployment benefits.
This means that third country nationals can not export/transfer Danish unemployment benefits while seeking employment in another EEA Country.
However we assume that you are an EU-citizen. If you are citizen in England, you are still considered as an EU-national as long as Brexit is not executed.
Then there is additional requirements for transfering your rights to Unemployment benefits to another country - you can read more about them here.
One of the requirements is that you must be registered at the Jobcenter as unemployed, and you must be entitled to receive unemployment benefits.If you are an EU-citizen graduate in Denmark you will be entitled to Unemployment benefits.
If you meet all the mentioned requirements- then you can have Unemployment benefits for 3 months while seeking job in UK.
If you decide to move permantly to England BEFORE/DURING your jobseeking period of 3 months then you can not get Unemployment benefits from Denmark.
You can only be covered by the unemployment insurance system in one EEA country (EEA countries = EU member countries, Norway, Iceland, Liechtenstein and Switzerland) at a time. And from the time you have moved permantly to England, you will be covered by the Unemployment Insurance system in England.
Hope it helps you. And good luck with your jobseeking.
Best regards,
Anders, www.a-kasser.dk