The tournament will be the final chance for several players, including Wilkinson, to get themselves inside the FedEx Cup's top 125, which will guarantee them a tour card for next year and a place at next week's first FedEx Cup play-off tournament The Barclays.
Wilkinson is ranked 139th heading into the tournament at Sedgefield Country Club.
Others in the "bubble" include David Toms, Seung Yul-Noh, Matt Jones, Scott Stallings, Kyle Stanley and Nick Taylor.
Wyndham will also be one of the last chances American golfers have to impress Ryder Cup captain Davis Love III who will start pulling his team together to take on Europe after the Barclays (August 23-28).
The top eight-ranked US players after the Barclays will be automatic selections for the Ryder Cup, which will take place at Hazeltine National Golf Club between September 27 and October 2. Love will also have four captain's picks.