You’ve trained yourself already, to an extent, so that your tape rolls as far as it takes for a full sentence to fit and error-correct for the parts you don’t know. Notice the boundary of meaning and non-meaning you have to tread on when experiencing speech you’re not completely familiar with.
I’m also bilingual so perhaps learning a language is one of many ways to deconstruct our perceptions.
Hearing something in Language B, but not realizing, so the brain processes it in Language A. Then not being able to understand for a few seconds until the brain realizes that what I heard is actually Language B, and suddenly the first seconds of the speech make sense.
I'll idly hear someone speaking - usually at quite some distance - but their words are very indistinct, I'm unable to make out what they're saying. I'll think to myself "what language are they speaking?", but after a second or two, there's some kind of frequency tuner in my brain that settles on the correct band and suddenly everything falls into place and I can understand them perfectly.
https://www.rehab.research.va.gov/jour/05/42/4suppl2/martin....