Krakatoa,
The answer is maybe. I know that is not giving you much, but many factors contribute to the annual minimum. I would say you are more likely to be right than wrong, but the current state of the ice is but one factor. Comparing to other years: 2016 witnessed much greater melt in the spring, but less so around the solstice. The early melt gave it a head start to finish on the low side. 2014 also started out with high melt, but slowed significantly during the summer, resulting in a relatively high minimum. Conversely, 2012 had much less spring melt, but it picked up in June, accelerating through the summer to the lowest minimum witnessed. 2015 started similar to 2012, but never had the summer acceleration. Thus far this year, the spring melt has been somewhat average. If this continues through the summer, you will be correct.