She said Mr Dutton apologised for the message about her article referring to Mr Briggs` recent resignation.
The BBC has approached Mr Dutton`s office for comment.
He reportedly told News Corp in a statement he is expects a "tough time" in Ms Maiden`s next article.
"Sam and I have exchanged some robust language over the years so we had a laugh after this and I apologised to her straightaway, which she took in good faith," Mr Dutton was quoted as saying.
Former Cities Minister Jamie Briggs resigned last week following a complaint from a female public servant over his alleged conduct during a night out in Hong Kong.
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