Thorbjørn Olesen will secure a Ryder Cup debut if he achieves a top-six finish on home soil at this week's Made in Denmark.
However, should the 28 year old finish down the leaderboard, English pair Matthew Fitzpatrick and Eddie Pepperell both have a chance to snatch the last automatic qualifying place on the European Team at Le Golf National next month.
Francesco Molinari, Justin Rose, Tyrrell Hatton, Tommy Fleetwood, Jon Rahm, Rory McIlroy and Alex Noren have already secured their places in Thomas Bjørn's lineup.
Rafa Cabrera Bello, Paul Casey and Ian Poulter were all unable to make up enough ground during last week's Northern Trust on the US PGA Tour to unseat Olesen from eighth place in the qualifying rankings, and will all now be hoping for a wild card pick.
That leaves Fitzpatrick and Pepperell in a position to prevent Olesen becoming only the third Dane to play in the Ryder Cup after Bjørn and Søren Hansen.
Fitzpatrick, who made his Ryder Cup debut two years ago at Hazeltine National, must land a fifth European Tour title at Silkeborg Ry. Should that happen, the 23 year old would need Olesen to finish no better than tied for seventh with two other players in order to dislodge him.
Pepperell's tie for ninth in the Czech Republic last week leaves him needing to win with Olesen outside the top 12 in order to qualify for what would be his Ryder Cup debut.
Captain Bjørn will complete his side by announcing his four selections for wild card picks on Wednesday September 5.