"Kane Williamson, Kyle Jamieson and Mitchell Santner, as well as physio Tommy Simsek, will remain in a secure mini-bubble in New Delhi before departing for the UK, ahead of preparations for the Test series against England, and the ICC World Test Championship final against India," the NZC said in a statement.
Fast bowler Trent Boult, however, will return to New Zealand in a chartered flight that will leave New Delhi on Friday along with trainer Chris Donaldson. Both are returning home briefly to see their families.
"We're completely supportive of Chris and Trent taking the opportunity to see their families before heading to the UK. They've always been the consummate professionals and we're more than happy to accommodate these arrangements," said NZC CEO David White.
Boult will depart for the UK in early June. He will spend a week with his family in May after finishing his quarantine period before training at Mount Maunganui. NZC expects him to be available for selection for the second Test against England.