Olyphant says, "He keeps telling me to lose it."
The actor says the TV hat is too Western for Leonard's taste and notes that the onscreen character dons it much more often than the book version.
As for Olyphant, he thinks the hat "looks cool."
Expect more Leonard characters to populate "Justified" in Season 2, which premieres Wednesday at 10 p.m. EST.
The author let the show use material from his upcoming novel about the Marshal. Olyphant says that inspired the show's new bad guys.