The draw was made before a crowd of players, coaches and officials at Eton Manor today and pits the Dutchwoman against the Japanese player.
Vergeer has not lost a Singles match since 2003 - a winning streak of 465 matches - and is aiming for a fourth consecutive Singles gold medal (she also has two Doubles golds) at London 2012.
Thailand has a tough draw in the men's Singles. Suthi Khlongrua will play world number one Stephane Houdet of France, while Suwitchai Merngprom faces world number four Ronald Vink of the Netherlands.
Defending Paralympic champion Shingo Kunieda of Japan faces Rafael Medeiros Gomes of Brazil.
In Quad Singles, notable match-ups are South Africa's Lucas Sithole against world number one David Wagner of the USA.
The Wheelchair Tennis competition starts on Saturday.