The new HBO series has been attacked by some for its lack of racial diversity, as well as how the show centres on privileged white characters.
Konner revealed to New York Magazine's Vulture that the show will be addressing the lack of non-Caucasian characters later this season.
"But, um, I would also say that we're not trying to take on the world," she continued. "We're trying to show a very specific group of people.
"But we are, I would say, regretful about sort of the lack of diversity in our show. And it's getting better. That's what I'll say. We're working hard on it."
On the number of privileged white characters in the series, Konner said that Girls is not "trying to represent the whole world".
"Lena is trying to tell a story that is largely hers," she explained. "Her process is so quick that she'll go out to dinner with someone, have a terrible date, and by the next morning it's incorporated into the show.
"Whereas, like, it takes me maybe 15 years to be able to write about something that happened in a truthful way with some distance and some comedy to it. So we're writing Lena's life as she's living it, basically."
Girls, which was renewed for a second season, airs on Sundays at 10.30pm ET. It will air in the UK on Sky Atlantic in September.
Watch a clip of Girls below: