The former Manchester United player limped off during West Bromwich Albion's Premier League defeat by Crystal Palace on Saturday.
The Irish, one point ahead of second-placed Romania, will go through if they take two points from remaining games with Greece, who are bottom, and fourth-placed Finland.
They have never qualified for a European Championship and last reached the World Cup finals in 1986.
(Reporting by Steve Tongue; editing by Ken Ferris)
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