Roger Goodell told CBS News that he doesn't believe his job as commissioner is in jeopardy as a result of his handling of the Ray Rice situation but admitted the NFL has a domestic violence problem.

Asked if he felt his job was on the line, Goodell answered: "No."

"I'm used to criticism. I'm used to that. Every day, I have to earn my stripes," he said in a portion of Tuesday's interview that aired on "CBS This Morning" on Wednesday. "Every day, I have to, to do a better job. And that's my responsibility to the game, to the NFL and to what I see as society.

"People expect a lot from the NFL. We accept that. We embrace that. That's our opportunity to make a difference, not just in the NFL but in society in general. We have that ability. We have that influence. And we have to do that. And every day, that's what we're going to strive to do."

Goodell said he believes the NFL has a domestic violence problem because "one case is too many."

In addition to the Ray Rice situation, there are also pending cases against Greg Hardy and Ray McDonald.