The 33-year-old has been added to World Rugby's panel of referees for the November internationals.
Davidson took charge of her second Women's Rugby World Cup final at Twickenham in London last month - the first woman to do so.
She was also named World Rugby's Referee of the Year.
More than a quarter of her 46 matches in the middle have come in the men's test arena.
She was the first woman to referee a men's Six Nations team, leading an all-female team in Italy's 38-31 win over Portugal in June 2022.
Davidson will also referee Portugal v Hong Kong China, as well as being appointed assistant for Italy v Australia.
Frenchman Pierre Broussert will referee the All Blacks' opening game of their northern tour against Ireland in Chicago on November 1.
Australian Nic Berry will referee their test against Scotland in Edinburgh on November 8, while Italian Andrea Piardi will control the test against England at Twickenham on November 15.
Davidson will referee the test against Wales in Cardiff on November 22.
