Spinner Holly Colvin believes New Zealand will be out for revenge against England in the early hours of Thursday.
England face the White Ferns - who they beat twice at this year's Women's World Cup - in Barbados, in a Twenty20 tri-series also involving West Indies.
"They will be looking to get revenge having not done so well against us in the World Cup," said Sussex's Colvin.
"New Zealand are a side never to be underestimated. They have got some strong hitters and some canny bowlers."
The triangular series began on Monday as the hosts beat New Zealand - who were bowled out for 81 - by 23 runs.
The time difference means the day/night fixtures take place in the early hours of the following day from a UK perspective, starting at midnight.
England have travelled to the Caribbean with an inexperienced squad as they are without several players who are recovering from injuries.
But Knight said: "Quite a few of our players came out of the Ashes injured so they have sent a young team out there.
"There are a few young and exciting players, so it should be good to see how they get on."
After the tri-series - in which the three sides play both opponents twice each before the top two meet in the final - England move to Trinidad for a three-game one-day international side against the Windies.
England squad to tour West Indies: Charlotte Edwards (Kent, captain), Tammy Beaumont (Kent), Holly Colvin (Sussex), Kate Cross (Lancashire), Natasha Farrant (Kent), Lydia Greenway (Kent), Jenny Gunn (Nottinghamshire), Danielle Hazell (Yorkshire), Amy Jones (Warwickshire), Beth Langston (Essex), Natalie Sciver (Surrey), Sarah Taylor (Sussex), Lauren Winfield (Yorkshire), Danielle Wyatt (Nottinghamshire).