As adjectives the difference between muggy and soggy
is that muggy is humid, or hot and humid while soggy is soaked with moisture or other liquid.
muggy
English
Adjective
(er)
humid, or hot and humid.
Synonyms
* (of the weather) , oppressive, sultry
soggy
English
Adjective
(er)
Soaked with moisture or other liquid
Derived terms
* soggily
* sogginess