The 3-time Grand Slam winner had a back op at the weekend and will leave it until the last minute to decide if he can compete.
Emma Raducanu faces a tough opener against Russian 22nd seed Ekaterina Alexandrova.
Katie Boulter takes on former semi-finalist Tatjana Maria of Germany.
British men’s number one Jack Draper will play Swedish qualifier Elias Ymer and could face fellow Brit Cameron Norrie in the second round.
