The Irish FA made the announcement after Reeves suffered a calf injury during Wednesday's 1-0 international friendly loss to Scotland.
Reeves, who plies his trade for League One side Milton Keynes Dons, played 70 minutes in Glasgow before he was substituted.
The 23-year-old will watch from the sidelines as Northern Ireland welcome Finland to Windsor Park, bidding to consolidate second spot in Group F with a fourth victory in five matches.
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