Wojnarowski added Gay will host free-agent visits in Austin, Texas, over the weekend once free agency kicks off at midnight on July 1.
The 30-year-old Gay spent most of the past four seasons with the Sacramento Kings.
Gay tore his left Achilles tendon in mid-January, which forced him to miss the remainder of the 2016-17 season. He was productive prior to that injury, though, as he averaged 18.7 points, 6.3 rebounds, 2.8 assists and 1.5 steals per game while shooting 45.5 percent from the field and 37.2 percent from long range.
Although Gay is far from a three-point marksman, he would provide additional firepower to a Thunder team that desperately needs it to supplement reigning NBA MVP Russell Westbrook.
OKC ranked last in the league in 2016-17 with a three-point shooting percentage of just 32.7 percent. It also ranked just 26th with 8.4 triples made per game.
The manner in which Westbrook commands defensive attention, penetrates and distributes creates open shots and begs for fellow Thunder players to capitalize.
Gay is better known for his mid-range game than his three-point ability, but shooting of any kind would be a welcome addition to the Thunder.
Andre Roberson shot just 24.5 percent from deep as OKC's starting small forward last season, so Gay would represent a significant offensive upgrade as a running mate for Westbrook.