Citing "a source" it did not identify, the broadcaster said Woods has settled on Romo to golf with him at the Feb. 9-12 Pebble Beach Pro-Am, which will be the former World No. 1's PGA Tour first competition this year.
The choice quashed speculation Denver Broncos signal-caller Tim Tebow would partner up with Woods in California.
Woods is known as a friend of Romo's, appearing with him in a private box at a 2009 U2 concert at Cowboys Stadium, ESPN said, noting the pair have played a pro-am round before at the 2009 AT&T National.
Romo played the Pebble Beach Pro-Am with John Daly in 2010 and 2011.