A depressed Wilson allegedly slashed his wrists in an apparent suicide attempt at his home in Santa Monica, California, last month.
And, in a bizarre coincidence, his latest movie character is involved in a deliberate motorcycle accident in The Darjeeling Limited.
He says, "It (the suicide theme) comes more from me than Owen. He is just playing a role. There's not much else there.
"People can't avoid making connections, but they are making them after the fact."
And Anderson also plays down speculation Wilson was responsible for the scene in 2001 movie The Royal Tenenbaums, which the pair co-wrote, where his brother Luke Wilson's character tries to kill himself by cutting his wrists.
He adds, "I wrote that character myself. Owen was not in on that one."
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