Linney, who plays Cathy in the show, admitted that filming is hard work but explained that she always wants to do more.
"It's a lot, there's no question," she told Zap2It. "Still, I never feel I'm able to do as much as I would like to.
"You get used to the pace. You sort of have to, or else you would combust. I really try to take it one scene, one day or one episode at a time."
Linney added: "I also have responsibilities outside acting, but I'm enjoying this, and I feel like I'm learning a lot. And it's not as physical as some of the movies I've made."
Linney also revealed that she is pleased that she can have some input into casting on the show as she is an executive producer.
"I have a little bit of a say," she explained. "So it's nice to be able to put in the pot the names of people I've worked with over the years and really admire... as well as people I haven't worked with and have always wanted to. Hopefully we make the material good enough that they want to come."
Alan Alda, Hugh Dancy and Parker Posey have all signed up to appear in the upcoming second season of The Big C, which is due to premiere on June 27 on Showtime.
> 'The Big C' exec teases new characters