The 23-year-old Russell has been diagnosed with a minor, right lateral hamstring strain.
Russell played through the pain barrier in the recent Digicel One-day International Series, which ended level 2-2.
He played some important knocks with 113 runs off 111 balls in four innings. He also took six wickets at 26.33 runs each, with best figures of 4-61 in the fifth and final Digicel ODI.
No replacement player will be named for Tuesday’s Digicel T20 at Beausejour.
The West Indies squad for the second Digicel T20 will be named on Wednesday.
Squad for first Digicel T20I: