"He's definitely not going to make it tomorrow," West Indies captain Shivnarine Chanderpaul told journalists on Tuesday.
Chanderpaul was unwilling to predict when the valuable allrounder would rejoin their ranks after being injured in the Twenty20 tour opener last week.
"We will wait and see how things will progress. I really couldn't tell you how bad it is," Chanderpaul said.
In an attempt to turn around their record of 14 losses from their last 16 completed games, the team has turned to a sports psychologist.
Irishman David Scott, who has worked with professional ice-hockey teams, has had a positive impact on the West Indies camp, Chanderpaul said.
"He's been doing a lot of one-on-one sessions with the players, giving them advice. He's been trying hard. He's been doing a lot of work and we've gone a long way."
"We're very close. We have won with the team we have now in Pakistan. We won the ICC champions trophy with the same team. If we get it right we can win games."
New Zealand are more relaxed after their 81-run win in the opening match on Saturday and may continue experimenting with their line-up and batting order.
Coach John Bracewell is hoping to develop a wider squad leading up to next year's World Cup. Fleming suggested the chopping and changing did not necessarily make his job any easier but he understood the reasons for it.
"My concern is with the team I'm given and winning games. While we're winning it's fine. It's not necessarily comfortable, but it's also about growing the side and players," he told reporters.
Fleming said a win in Queenstown, New Zealand's South Island lakeside tourist hub, could put the West Indies on the back foot for the rest of the five-match series.
"We're really aware when you're touring and you're under the hammer that it becomes a pretty tough place. Another win now and we move to Christchurch with a chance to win the series, which is what we're after," he said.
"And looking at the test series as well, if we can play this One-day series well, we gain an advantage going into that," he added.