He hopes to be fit for the last league game against Sri Lanka [ Images ] at the same venue on March 18.
New Zealand's key left-arm spin bowler hurt his right knee during the team's previous game against Pakistan on March 8 at Pallekele, Sri Lanka.
"At the moment Dan's staying with us. I think he is probably going to miss the next game. But he is staying with us for the rest of the tournament which is good for us," Kiwi opener Marin Guptill told reporters in Mumbai [ Images ] on Friday.
Guptill said the team will take a call on Vettori's replacement on Saturday.
"Not too sure what they are going to do. We haven't had a selection meeting yet. The decision will be taken tomorrow," he said.
New Zealand team media manager Ellery Tappin said Vettori strained a ligament in his right knee.
"It's not a tear or something significant. He is targetting the Sri Lankan game."