According to NASA, the full moon of Saturday night, June 30th, will be particularly suitably situated to view the 'moon illusion'. NASA even offers their apparently 'most favored' explanation, referred to as the 'flattened sky'[1], as pictured below.
Fig. 1 
I like this one, because it's my own pet theory as well!
However, there may be more to it. Professor Don McCready of the Psychology Department, University of Wisconsin-Whitewater[2] says it has to do with the 'Oculomotor Micropsia' of the human eye. It is described in exhausting detail in an article on the university's website.[2]
Whatever the case, look on Saturday night and decide for yourself.
-J
[1] Summer Moon Illusion (NASA)
[2] THE MOON ILLUSION EXPLAINED (UWW)