'autosuggestible' is a modern English formation combining the prefix 'auto-' (from Greek 'autos' meaning 'self'), the verb 'suggest' (from Latin roots such as 'suggerere'/'suggestus' meaning 'to propose/place beneath'), and the adjectival suffix '-ible' (from Latin '-ibilis' meaning 'able to').

'suggest' passed from Latin ('suggerere' / participle 'suggestus') into Old French and Middle English as 'suggesten'/'suggest', while the productive prefix 'auto-' (from Greek) and the suffix '-ible' (via Latin/French) combined in modern English to form technical adjectives like 'autosuggestible' in computing contexts.

The element 'suggest' originally carried the sense 'to bring/put forward'; in modern compound coinages like 'autosuggestible' the focus narrowed to 'able to be offered as an automatic suggestion' (a technical sense arising with interactive systems).