For 1000 difference I wouldn’t deal with it.

But if you really want to sell it to him call the bank and verify. Better yet, meet at the branch and cash it out.

I once sold a jeep and buyer offered the same deal. First he drove to me to check out the jeep Then I drove three hours to meet at his credit union so we can cash the check and I walk away with cash.

He might be offering more because it’s cheaper than dealers and or really likes it and doesn’t want for it to slip his fingers.