The American pair are up fourth on Friday at the Medinah Country Club in Illinois as they take on English duo Ian Poulter and Justin Rose.
"Strick and I are very comfortable together," said Woods. "We've had some pretty good success over the years and we both have been playing well.
"Our captain said that would be a good fit and he wanted us out there to anchor. We know each other's game and we practice a lot together at tournaments. We know what to expect from each other."
Woods has lost the second-most foursomes matches for the USA in Ryder Cup history with seven defeats coming in his six appearances.