to be eligible for dagpenge as a graduate, you must complete a education with a duration of at least 18 months (3 semestre/90 ECTS). Your education is not completed as long as you have not got your thesis approved.
So at the moment you can not receive dagpenge. However you can try to see if you can get your thesis pre-approved as soon as you think its possible for you. A pre-approval should be enough to apply for dagpenge in the A-kasse.
Anders Weber, www.a-kasser.dk