Woods was paired with Patrick Reed in the morning for the fourballs session.
But Jim Furyk has opted against having the 14-time major champion play twice on the opening day.
The 42-year-old doesn’t have a great record in foursomes at the Ryder Cup, losing eight of his 13 matches.
His best record comes in the singles, only losing once and winning four of his six matches.
Match 1 – Stenson/Rose vs Johnson/Fowler 12.35pm
Match 2 – McIlroy/Poulter vs Watson/Simpson 1.05pm
Match 3 – Garcia/Noren vs Mickelson/DeChambeau 1.20pm
Match 4 – Molinari/Fleetwood vs Thomas/Spieth 1.35pm