What's the adjective for conversableness? Here's the word you're looking for.
Included below are past participle and present participle forms for the
verbs conversation, converse, conversate and conversationalize which may be used as adjectives within certain contexts.
“Most of my working life was as a sales representative for a major insurer covering the majority of the county, so I am fairly well conversant with the area.”
“Chapters 4 and 5 contain considerable data about the international mobility of citizens, most notably as guest workers in Western Europe, with which even the most conversant students of Yugoslavia are probably unfamiliar.”