Hi,
it will be an individual decision made by your A-kasse, whether you are considered available for the labor market or not in the 1 month period between your jobs.
This situation is categorised as “doubts about availability in an interim period”.
The legislation is in “bekendtgørelse om rådighed” §31.
The start of point (in the law) is that you are cosidered NOT to have a real intention of finding a job in the interim. The termination of your current job is due to your specific future plans/future obligations with your new job.
And therefore you are not available for the labor market, and can not receive dagpenge.
However these cases are due to an individual assesment made by your A-kasse.
best regards,
Anders Weber, A-kasser.dk