1110 GMT November 29, 2021
Murray's compatriots Aljaz Bedene and Kyle Edmund will also face qualifiers, who are yet to be determined, BBC reported.
Johanna Konta, Britain's top-ranked female player, will start her campaign against German Julia Goerges.
Fellow Britons Heather Watson, Laura Robson and Naomi Broady will face Nicole Gibbs, Andrea Petkovic and Coco Vandeweghe respectively.
Robson faces a tough challenge as Petkovic is a former semifinalist at the clay court tournament, which begins on Sunday, 22 May.
Defending women's champion Serena Williams, who will start against Magdalena Rybarikova, is in the same half of the draw as number three seed Angelique Kerber and Victoria Azarenka, ranked fifth for the Roland Garros event.
Murray, 29, is in the same half of the draw as reigning champion Stan Wawrinka, with world number one Novak Djokovic and nine-time winner Rafael Nadal in the opposite half.
Having reached three semifinals in Paris, Murray goes into this year's tournament having beaten Djokovic in the final of the Italian Open earlier this month.
In the previous tournament, the Scot beat Nadal as he reached the Madrid Open final, where he was beaten by Djokovic.
"There's a lot of guys coming back that will be feeling good about their chances," Murray told the French Open website.
"I hope I can have a good run and get some good work done in the next few days to get ready."
The French Open is the only grand slam Djokovic, who lost in the final to Wawrinka last year, has yet to win and he is bidding to become the first man since 1969 to hold all four majors at the same time.
The Serb will play Lu Yen-hsun in round one, while Nadal will play Australian Sam Groth and Wawrinka will begin his title defense against Lukas Rosol.
Roger Federer has withdrawn from this year's French Open after failing to recover from a back injury, while Frenchman Gael Monfils has pulled out with a viral infection.