In Korean tradition, dreaming of a silkworm is read as auspicious. It is most often tied to 재물, 직장.
The silkworm spinning and cocooning is long labour turning into something precious; emerging from the cocoon, shedding an old shell for a new form.
Tradition reads the symbol as an omen; psychology reads the same dream as a mirror of your present state. Describe your dream and both readings appear together. Interpret your dream