One can read a match report here http://anno.onb.ac.at/cgi-content/anno?apm=0&aid=nfp&datum=19380425&seite=6&zoom=1 says among others the match is the 84th between both sides and the what they name Germanaustrians were not able to break the 4 year unbeaten run of the Hungarians.
Some facts about Hungary v Austria: at the time Hungary and Austria have played 82 official A-internationals so far (including the 10 played as Budapest v Vienna in the 1902-08 era). The last Austrian victory against Hungary was at the 1934 World Cup quarter final, which was 4 years ago at the moment.
I found a more detailed newspaper: The Sport-Tagblatt writes in the match preview http://anno.onb.ac.at/cgi-content/anno?apm=0&aid=wst&datum=19380423&seite=1&zoom=2
Some remarkable facts:
-> it reports Vienna lost the last match between both sides 2-1 last October (which was in 1937). On 10-10-1937 there was the match Austria 1-2 Hungary in Vienna.
-> total overall score between Vienna and Budapest at the time: played 83, Budapest won 36, drawn 21, Vienna won 26. Overall goalscore 185-174 in favour of the Hungarians.
-> total overall score between Austria and Hungary at the time: played 82, Hungary won 37, drawn 20, Austria won 25. Overall goalscore: 184-174 in favour of Hungary.
-> the resemblances Vienna v Budapest and Austria v Hungary are remarkable!