The nearly 15,000-square-foot house is set on a half-acre of land.
Conway and her husband, George, are worth as much as $40 million, according to a financial disclosure reported by Bloomberg.
It's on Benton Place NW, a secluded, tree-lined street.
Massachusetts Avenue Heights is just across Rock Creek from Kalorama, where the Obamas, Jeff Bezos and Ivanka Trump and Jared Kushner have all moved within the past few months.
The house was previously owned by the former acting Prime Minister of Pakistan, Mooen A. Qureshi.
Qureshi was also a senior official at the World Bank, Curbed reports.
The master suite has two master baths and two walk-in closets.
It's more than 500 square feet, according to realtor.com.
There's a wine cellar and a billiards room.
Heatstreet reports the house also has servants' quarters.
And an eat-in kitchen.
At least one of Conway's potential new neighbors is excited about her arrival.
Developer Jim Abdo told Washington, "We would welcome anyone to our neighborhood. It's a very special place."
Sam Dangremond is a Contributing Digital Editor at Town & Country, where he covers men's style, cocktails, travel, and the social scene.
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