Dr. Arnie Klein‘s got some fall shopping to catch up on in Beverly Hills — because TMZ has learned, the Michael Jackson estate just REJECTED the good doc’s claim to return his old, $10,000 jacket.

TMZ broke the story — Klein says he loaned Michael Jackson a $10,000 Gianfranco Ferre jacket before the singer died, but MJ never returned it.

Klein filed a claim against Michael’s estate back in February 2010 to get it back — and yesterday, the estate finally got around to giving him an answer … go fly a kite.

But the estate didn’t just tell Arnie to buzz off — according to the legal docs, the estate also rejected a former lawyer’s $3 million bill, an old accountant’s $60,000 bill … plus an additional $354,230 in other claims.

That said, it’s not the end of the road for Arnie or MJ’s other creditors — they can still sue the estate in court. But it’s unclear if that’s what Arnie and co. plan to do.