Williamson was one of the stars at the last ODI World Cup in 2019, named player of the tournament after scoring two hundreds at an average of 82.57.
Last month Black Caps coach Gary Stead said there was still a chance of Williamson making the tournament after initial thoughts it appeared slim.
“We will leave the call on Kane as late as we can and give him every chance of being there. He’s a quality player for us and that’s exciting that he’s still a chance,” Stead said at the naming of the team’s home schedule last month.
The Black Caps open the World Cup against fellow 2019 finalists England on October 5.
Signs are looking good if Williamson already has bat in hand. In April, Stead said Williamson remained unlikely to play at the World Cup, but he may attend in a mentoring role regardless.
“It’s still far too early to know. To date what we know, that’s been successful. He’s in the very early early stages of his rehab programme. It’s obviously pretty weight-bearing at this stage and he’s in a brace,” Stead initially said.
“It’s really just meeting milestones as we go. It’s unlikely that he will be available, but we certainly don’t want to rule out a person of his class and calibre and the things that he brings to this team too early in case there is that chance.”