Definition of insatiable adjective from the Oxford Advanced Learner's Dictionary

 

insatiable

 adjective
adjective
BrE BrE//ɪnˈseɪʃəbl//
 
; NAmE NAmE//ɪnˈseɪʃəbl//
 
 
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always wanting more of something; not able to be satisfied an insatiable appetite/curiosity/thirst There seems to be an insatiable demand for more powerful computers. There’s an apparently insatiable demand for this kind of programme. The public seems to have an insatiable appetite for celebrity news. Word Origin late Middle English: from Old French insaciable or Latin insatiabilis, from in- ‘not’ + satiare ‘fill, satisfy’, from satis ‘enough’.
See the Oxford Advanced American Dictionary entry: insatiable