The actor has admitted his marriage collapsed because he had a baby with a housekeeper 14 years ago but hid the truth from his wife Maria Shriver.
And sources close to the action movie hero said the Shriver is horrified by the possibility of more women coming forward.
It has been reported that one woman has contacted a lawyer claiming Schwarzenegger is the father of her daughter and has asked for a DNA test to prove paternity.
She has claimed that she met the Terminator star at a club eight years ago and had a brief fling.
She has no evidence to prove the actor is the father.
"Arnie faces the possibility of more and more women claiming they had a relationship with him. It will be an increasingly tough time for both him and Maria,” the Mirror quoted a source as saying.
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