Robinson has been ruled out of the first Test with a back injury.
Robinson left the field on the third morning of England's warm-up against the Cricket West Indies President's XI in Antigua because of a back spasm.
He did not return to bowl on the fourth and final day of the first Test in Antigua, which will be held on Tuesday.
Saqib Mahmood has been added to the England squad.
Mark Wood, Chris Woakes and Craig Overton are the likely seam attack for the first Test, but uncapped Sajid Mahmood could be chosen for the fourth bowler spot.
The final team will be announced on Tuesday.
Ollie is a bowler. He will be a big miss.
He has shown in his short Test career that he can do good things in the format. It gives people opportunities.
It gives someone who has been waiting in the wings for a long time the chance to show what they can do at this level.
James Anderson and Stuart Broad were dropped for the West Indies tour, with Robinson set to be a key part of the attack.
If Robinson is ruled out of the entire series, neither Anderson nor Broad will join the squad, with Liam Norwell the first reserve.
Ben Foakes, Dan Lawrence, Jack Leach, Alex Lees, Saqib Mahmood, Craig Overton, Chris Woakes, and Joe Root are all part of the England team.
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