The race now moves on to states where it may be harder for Sanders to connect to voters, like South Carolina. In this preview clip, he speaks with Scott Pelley about the challenges that he may face moving forward.
SCOTT PELLEY: You look like you were having fun at your victory party.
BERNIE SANDERS: I was!
PELLEY: Might be your last one. It only gets harder from here.
SANDERS: No, I don't think it's going to be our last one. But we had fun last night and we look forward to having more fun in the future.
PELLEY: But New Hampshire, largely white, a more liberal population that the states you're headed to next. South Carolina, Nevada, you're going to be facing African American voters, Latino voters. Do you have a chance in those places?
SANDERS: Oh, I think we have a very strong chance.
See the interview Wednesday on the "CBS Evening News" at 6:30 p.m. ET.