Nadal had been drawn to face Arnaud Clement in the first round, with Lleyton Hewitt - who beat the Spaniard in an exhibition match on Thursday - his likely second-round opponent.
Two-time finalist Andy Roddick is another contender in the top half of the draw.
In the bottom half, five-time champion Roger Federer will open against Yen-Hsun Lu - and will be the opening match on Centre Court on Monday - while fourth seed Novak Djokovic takes on France's Julien Benneteau.
Murray's prospective route through the draw, according to the seedings, would see him face Kendrick, Ernests Gulbis, Viktor Troicki, Marat Safin and Gilles Simon, before del Potro - replacing Nadal - in the semi-finals and Federer in the final.
Other potential threats in the Scot's section of the draw are 10th seed Fernando Gonzalez, who beat Murray at the French Open earlier this month, James Blake and Stanislas Wawrinka.
Kendrick famously led Nadal by two sets to love in the second round in 2006 before losing in five, and has just one singles victory in three Wimbledon appearances.
Defending women's champion Venus Williams will play Switzerland's Stefanie Voegele in the first round, while 15-year-old British wildcard Laura Robson takes on Daniela Hantuchova.
Robson will become the youngest player in the women's singles since Martina Hingis in 1995, and last year's junior champion will defend her girls' title in the second week at the All England Club.
World number one Dinara Safina was drawn against Lourdes Dominguez Lino and could face Venus Williams in the last four.
Serena Williams will begin her singles campaign against qualifier Neuza Silva, Maria Sharapova has drawn qualifier Viktoriya Kutuzova, and British number one Anne Keothavong will face Patricia Mayr.
The draw was not kind to the British men, with Dan Evans taking on Nikolay Davydenko, James Ward to face Fernando Verdasco, Alex Bogdanovic up against Tomas Berdych, and Josh Goodall drawn against Michael Llodra.
Among the women, Mel South will play Mathilde Johansson, Katie O'Brien takes on Iveta Benesova, Georgie Stoop plays Vera Zvonareva, and Elena Baltacha will meet Alona Bondarenko.
The full order of play will be announced on Sunday.
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