The 51-year-old will attempt to help the US reclaim the biennial trophy when they meet Europe at Whistling Straits.
Meanwhile, Padraig Harrington has already been chosen as Europe's captain.
The 2020 Ryder Cup will be played at Whistling Straits Golf Course in Wisconsin from September 25 to 27, 2020.
Dimitrov marks return from pectoral injury with win in Paris
Grigor Dimitrov said he was still adjusting to the rigours of competitive tennis after three months out with a pectoral injury but the former world number three was delighted to mark his return with a victory at the Paris Masters on Monday.
Real Madrid captain Carvajal faces knee surgery setback
Real Madrid captain Dani Carvajal will undergo surgery on his right knee, dealing another blow to the defender who has battled persistent injury problems over the past year.
Simeone and Baena strike as Atletico beat Betis to extend unbeaten run
Atletico Madrid extended their unbeaten run in LaLiga to nine matches with a 2-0 victory over hosts Real Betis on Monday, courtesy of goals from Giuliano Simeone and Alex Baena.
Juventus sack coach Tudor after eight-match winless run
Juventus have sacked head coach Igor Tudor after failing to win their last eight matches in all competitions, the Serie A club said on Monday.
India's Iyer taken to hospital after fielding injury
India batter Shreyas Iyer suffered a lacerated spleen and was admitted to hospital in Sydney after falling awkwardly while taking catch in the third one-day international against Australia, the country's cricket board (BCCI) said on Monday.
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