The 33-year-old was absent for the tournament opener match against England and is now aiming to make a return during New Zealand's third match against Bangladesh on October 13 in Chennai.
The New Zealand skipper will play the role of specialist batter in a warm-up match against Pakistan on Friday in Hyderabad with the aim of batting and fielding in their second and last warm-up against South Africa in Trivandrum on Monday.
After injuring his knee playing in IPL in March, Williamson has made sufficient progress in his recovery to allow him to be included in the squad for the tournament starting in October
Williamson was deemed to be an unlikely participant in this year's World Cup when he ended up hurting his knee while fielding during the opening match of the Indian Premier League
The elegant right-hander, with 6,555 runs from 161 ODIs at 47.85, remains uncertain about returning for New Zealand's series against Bangladesh in late September.
He underwent surgery in New Zealand shortly afterward and is currently in the early stages of his rehabilitation, racing against time to be fit for the World Cup.
"Really disappointed with the Indian batters, their fans might come after me for saying this but I think Indian top order needs to look at Babar and Kane," he said.
Williamson got himself in a tangle while trying to save a boundary during the Titans' opening match in IPL 2023 against the Chennai Super Kings at the Narendra Modi Stadium