(CBS) Yet another man thinks that Anna Nicole Smith's little girl could be the fruit of his loins.

When the buxom blonde died last month, O.J. Simpson "said he was throwing his hat into the ring," videographer Norm Pardo told the New York Post.

Pardo shot some 70 hours of footage of Simpson from 2000 to 2005, the newspaper said.

At least three men — Smith's partner Howard K. Stern, photographer Larry Birkhead and Prince Frederic von Anhalt, the husband of actress Zsa Zsa Gabor — have claimed paternity over the little girl.

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Timeline: Anna Nicole Smith

Anna Nicole Smith: A Who's Who

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"He said he knew Anna Nicole pretty well, and he said he had slow-moving sperm, and he might be the father," Pardo said.

Simpson and Smith both starred in 1994's "Naked Gun 33 1/3: The Final Insult."

According to the newspaper, Simpson, who often visits the Bahamas where Smith was laid to rest on Friday, also joked to Pardo, "I hope they don't do a DNA test on Anna Nicole's baby. If they find out Dannielynn is mine, I don't want Fred Goldman trying to seize her money — or the baby herself."

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Photos: Anna Nicole Smith — Tragedy Strikes

Photos: Anna Nicole Smith — Her Life

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Goldman — the father of Ron Goldman, who was killed along with Simpson's wife, Nicole Brown Simpson, in 1994 — is pursuing damages over the murders in civil court after Simpson was acquitted of their murders in criminal court.

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