Hi,
Following the Withdrawal Agreement, a persons rights as a British citizen to social benefits remain unchanged as if the person were still an EU citizen
If your husband is covered by the withdrawal agreement (we do not guide about that), it means that the EU rules about coordination of EU Social Security applies.
https://www.a-kasser.dk/eu-social-security-coordination/
One of the principles is the right to “export” Unemployment benefits for up to 3 months when an unemployed person want to search for job in another EU-country. However the withdrawal-agreement only gives right to look for job in UK with unemployment benefits from Denmark – not to search for job in other EU-countries.
Off course your husband must be eligible for Unemployment benefits and meet the other requirements for transferring unemployment benefits. You can see the requirements here:
https://www.a-kasser.dk/transferring-unemployment-benefits/
If your husband is covered by the withdrawal-agreement it also apply to family-members, and hence its our opinion that you also should be able to use the EU-coordination rules, including exporting of Unemployment benefits.
Let me know if you have further questions.
Best regards,
Anders Weber, A-kasser.dk