IPA: /ˈdriːmɪli/
KK: /ˈdrimɪli/
In a way that shows a daydreaming or relaxed state of mind, often lost in thoughts or fantasies.
She stared dreamily out the window, imagining her next adventure.
Dreamily → It is formed from "dream" (from Old English *drēam*, meaning a series of thoughts, images, or emotions occurring during sleep) and "-ily" (a suffix meaning in a manner). The word "dreamily" describes the manner of being in a dream-like state or having dreamy thoughts.
Think of being in a state of thoughts and images like in a dream — that's what 'dreamily' means, doing something in a dream-like manner.