Koepka is recovering from a strain in his right leg. The Match Play, which starts Wednesday in Austin, Texas, will be the third straight tournament the four-time major champion has not been able to play.
Woodland, Adam Scott, Justin Rose and Tiger Woods are the others from the top 64 in the world ranking who will not play, the least surprising being Woods. He returned home to Florida this week to resume a long recovery from serious leg injuries sustained in a Feb. 23 single-car crash in Los Angeles.
Scott had said last week he would not be playing. His final event ahead of the Masters is this week at the Honda Classic. Rose withdrew from Bay Hill and the Players Championship with back issues.
Woodland, who lost to Rory McIlroy in the championship match at Harding Park in 2015, tested positive for the coronavirus and had to withdraw from the Honda Classic. It was not clear if the 10-day isolation required under PGA Tour protocols would allow him to play the Match Play because of the Wednesday start.
According to tour regulations, a player must start the first match in group play to be eligible for the next two.
The tournament features three days of round-robin matches among 16 four-player groups, which are filled with players from the Nos. 1-16 seeds, Nos. 17-32, Nos. 33-48 and Nos. 49-64.