I just dozed out for a second

The speaker was indicating she actually wasn’t asleep.  This is a mash up of “dozed off” (fall into a light sleep) and “zoned out” (to lose concentration or become inattentive).  The confusion seems to lie in the words off and out, and the letter z both in zone and doze.   A big thanks to Becca Christine for saying this one and Kevin Hatfield for passing it on!