The veteran opener did not train with the rest of the squad at Napier's McLean Park on Wednesday, remaining at the team hotel to rest.
"We'd love him to play all the games but we'll just have to manage him better," coach Stuart Williams told local media.
Gayle, 35, blasted a World Cup record 215 in the win over Zimbabwe but his form in other games has been patchy with 36 against Ireland, four in the game with Pakistan, just three in the loss to South Africa and 21 facing India.
Ireland and Pakistan, both on six points -- two ahead of the West Indies -- clash in Adelaide on the same day.
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"Our destiny is in our own hands and on Sunday we'll know exactly what we'll have to do to qualify," added Williams.
If West Indies snatch fourth place -- the best finish they can hope for -- they will face undefeated New Zealand in Wellington on March 21 in the last quarter-final.
They made 304-7 against Ireland but were defeated by four wickets before piling up 310-6 facing Pakistan on their way to a 150-run win.
Against Zimbabwe, they hit 372-2 and won by 73 runs, were bowled out for just 151 in a 257-run loss to South Africa before India dismissed them for 182 in a four-wicket win for the defending champions.
"We can beat any team on our day," insisted former international Williams. "Sometimes we have been up and sometimes down. Now we've just got to get the balance right -- we will have to find our A-game on Sunday.