Relation between Sick leave, job termination and active A-kasse
the requirements for being eligible for benefits are explained here https://a-kasser.dk/benefits.html.
This page has recently been updated. So if you have not already, please take a look at that page.
Among others requirements you must have had an income of at least DKK 223,428 during the last 3 years in TOTAL.
There can only be counted income from periods where you have been member of an A-kasse.
If you only have been member 1 year, then you must have had an income per month of DKK 18,619, which is also the maximum amount that can be counted per month.
You tell you have been full time member since january 2016, so you have more months to fullfill the requirement of income of DKK 223,428.
You dont exactly tell us what you montly salary is, but it seems for us that you have earned enough to fulfill the income-requirement.
If you get paid from your employer during sick leave this is also counted as income. If you get sick payments from your A-kasse you can not count this to fullfill the income requirement.
So according to the information you have provided you should be eligible for unemployment benefits, when you stop working/after last day of working.