The 28-year-old Munster player was carried off on a stretcher in the 75th minute of the match, marring an impressive Irish display in a 35-21 victory.
"Investigations at University Hospital Wales yesterday afternoon confirmed that Tommy suffered a hip dislocation in the game against Wales," a statement from the Irish Rugby Football Union said on Monday.
"He will be limited to non-weight bearing activity for at least six weeks and has unfortunately been ruled out of participating in RWC15."
O'Donnell would probably have been selected in the squad as a back-up back row after some impressive performances.
Back Andrew Trimble was also injured in the match and was due a precautionary scan on his foot.
Joe Schmidt's side start their World Cup campaign against Canada in Cardiff on Sept. 19.
(Reporting by Martyn Herman, editing by Pritha Sarkar)
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