exude vs ooze out

exude and ooze out both are verbs.

Word	Noun	Adjective	Verb	Adverb
exude	No	No	Yes	No
ooze out	No	No	Yes	No

As verbs, exude and ooze out are synonyms defined as:

Other synonyms of exude include exudate, ooze, transude.

exude (verb)	ooze out (verb)
release (a liquid) in drops or small quantities	release (a liquid) in drops or small quantities
make apparent by one's mood or behavior