Earlier this month, while playing against England in a one-day international, Southee cracked and dislocated his thumb while attempting to take a catch.
The New Zealand cricket board (NZC) announced on Tuesday that Tim Southee will represent New Zealand in the World Cup later this month after making progress in his recovery from a thumb injury. Kyle Jamieson will also go to India as a "contingency."
In an ODI against England earlier this month, fast bowler Southee attempted to take a catch and dislocated and fractured his thumb. Thursday saw his procedure.
In their opening match of the 50-over World Cup in India, New Zealand will take on the reigning champion England.
Tim Southee has been given the all-clear to travel to India with the Black Caps later this week as his recovery from surgery on his fractured right thumb continues, according to a statement from NZC.
In an effort to be available for the Black Caps' World Cup opener against England, the 34-year-old senior paceman will fly out to the ICC Cricket World Cup on Saturday.
In case of need, pace-bowler Kyle Jamieson will also practise with the World Cup team this week in India. Jamieson won't formally be a member of the World Cup roster and won't be able to participate in any of the exhibition games.
A second-string New Zealand team won a three-match ODI series in Bangladesh on Thursday.