Raducanu, who shot to prominence with a stunning triumph at the 2021 US Open as a teenage qualifier, is ranked too low for direct entry into the top WTA tournaments.
A protected injury ranking of 103rd helped the former British number one enter last month’s Australian Open without needing to go through qualifying.
But the rule – which allows players to freeze their ranking if they are out for six months or more – has not enabled Raducanu to move directly into the Indian Wells or Miami main draws.
Eight wildcards are available for Indian Wells, which has already awarded two to American seven-time major champion Williams and Danish former world number one Wozniacki.
If Raducanu does not receive a wildcard in Indian Wells, she could play in qualifying.
Raducanu missed most of the 2023 season after operations on both of her wrists, as well as ankle surgery, before returning to tour in January.
She has won three of the seven matches of her comeback so far and, instead of taking a wildcard for Dubai after losing to Kalinina, returned to the UK for a training block at the LTA’s National Tennis Centre.