The Dallas reboot completed its premiere season in the US in August, while Southland will be entering into its fifth season.
The police drama was picked up by TNT in 2009 after being cancelled by original network NBC following one season.
Dallas will return to American screens on January 28, with Southland following on February 13.
Leverage and Rizzoli & Isles, two shows currently on their mid-season breaks, will be back on November 27.
TNT also announced the start date for two new original series: Monday Mornings, a medical drama starring Ving Rhames and Alfred Molina, and a police series tentatively titled Boston's Finest, starring Donnie Wahlberg.
Monday Mornings will debut on February 4, and Boston's Finest on February 27.