Dr. Conrad Murray -- the man who killed Michael Jackson -- believes he is the one man Katherine Jackson can turn to for some honest advice ... and has invited MJ's mom for a jailhouse conversation.
Murray released a statement through his lawyers to CNN ... saying, "I've been told that she has a desire to speak with me before she departs this life."
"Seeing that she is up in age and in questionable health, and the fact that she is the mother of a very dear departed friend, it would give me great pleasure to sit with her one on one and answer any questions she might have."
Murray continues ... "I do not want Mrs. Jackson to suffer. She remains as dear to me as my own mother, unbeknownst to her."
Conrad claims he's not allowed to follow the news as closely as he'd like to in jail ... but is aware of the family drama ... and says Katherine appears to be "extremely sad."
"I also heard she is having a difficult time."
Murray says he's listed Katherine on his jailhouse visitor's list in case she wants to take him up on his offer. So far, no word on how Katherine feels about the situation.