Devon Conway is the latest member of the New Zealand squad to test positive for coronavirus.
The batter discovered he has contracted COVID-19 after taking a PCR test on arrival in London ahead of a team activity on Wednesday and will spend five days in isolation.
All-rounder Michael Bracewell has also tested positive following the Black Caps' defeat to England in the second Test at Trent Bridge on Tuesday.
New Zealand physio Vijay Vallabh and strength and conditioning coach Chris Donaldson have also returned positive tests.
The tourists have no plans to call up replacements ahead of the third and final match of the Test series, which starts at Headingley next Thursday.
England won the series by chasing down a target of 299 to win by five wickets at Trent Bridge, Jonny Bairstow scoring a magnificent century.
Captain Kane Williamson was ruled out of the second Test in Nottingham after testing positive for coronavirus.