"We're not going to close the door on the chance to add premium talent. You always explore it," Daniels told The Associated Press. "But if I had to handicap it, I don't think it's highly likely at this point."
A month ago, Daniels had dinner with the free-agent right-hander and former Rangers starter, but it was dismissed as just a friendly encounter.
Earlier in January, a report surfaced suggesting the New York Yankees, Chicago Cubs, Houston Astros, and Minnesota Twins, along with the Rangers, were among the potential landing spots for Darvish. However, the 31-year-old added intrigue, suggesting there's another team also still in.
Darvish is coming off a season in which he posted a 3.86 ERA and 3.83 FIP while splitting time between the Rangers and Los Angeles Dodgers.
He's one of many top free agents who remain unemployed, along with J.D. Martinez, Eric Hosmer, and Jake Arrieta.