It’s supposed to. Some people have a short lingual frenulum (The ligament that connects your tongue to your jaw), preventing proper tongue positioning which can cause problems like sleep apnea, speech impediments, tooth decay, and even poor posture. Inability to put your tongue at the roof of your mouth is one of the indications of this. Can be corrected with a fairly simple noninvasive surgery (They just snip the ligament a bit to lengthen it).

I was asleep, so no I didn’t notice

When awake too. The default position of your tongue when you’re not using it is the top of your mouth