As the Chicago White Sox continue to rebuild their roster, starting pitcher Jose Quintana might be the next player on his way out of the Windy City.

According to Bob Nightengale of USA Today Sports, the Texas Rangers "have increased their pursuit" of the veteran left-hander, although two sources "downplayed the possibility of significant talks" between the teams according to Evan Grant of the Dallas Morning News.

Quintana, 28, went 13-12 with a 3.20 ERA in 32 starts last season. He struck out 181 batters across 208 innings and was named an All-Star for the first time in his five-year career.

Texas inquired about Quintana at last year's trade deadline, per Grant, discussing Joey Gallo and Jurickson Profar as potential trade chips. But Chicago demanded that the Rangers include Rougned Odor and Nomar Mazara, effectively ending those talks.

Quintana is owed $14.35 million over the next two seasons, and the White Sox hold $10.5 million team options for 2019 and 2020.

The Houston Astros and Pittsburgh Pirates have also reportedly shown interest in Quintana this winter.

-- Nick Ostiller