Hi,
as a non-EEA graduate you don't have the same right to get unemployment benefits as if you were coming from an EEA-country.
BUT you can still (under some conditions) being eligible for unemployment benefits. Please read our article targeted non-EEA graduates and their rights to unemployment benefits.
We assume that the student-job you have now is already agreed to stop when you graduate.
If you have NO agreement about when you studentjob should stop it is important that you terminate the job so that you will have have stopped working when graduate.
Best regards,
Anders
www.a-kasser.dk