Williams was interviewing Jerry O'Connell when she abruptly declared that during a commercial break she got a text from Leakes that said, "I'm quitting."
"I'm surprised I got it, because I have no service in my office, but I got it," she continued, adding that she got the message at 9:08 a.m.
Williams went on to cryptically explain that Leakes is carrying some kind of burden but wouldn't go into any detail about what it is other than to say it doesn't involve her health or her kids.
"I know something about NeNe that you all will cry, be sad and feel bad for her," Williams said. "She's carrying the weight of a huge thing on her shoulders. I'm not going to say it, she's got to say it. But in my opinion, NeNe, you need this platform to explain the other part of your life."
"Forget arguing with them broads — you've got that secret, and that secret is going to melt their hearts," Williams continued. "Because when she shared it with me, I cried with her."
Williams then appeared to be getting emotional and said, "NeNe, you need that platform to explain. That's all. I'm telling you. NeNe, don't quit."
Last November, Leakes addressed rumors with PEOPLE Magazine that she wouldn't be returning for Season 12.
"There were a lot of rumors around the time and I was really skeptical about what I was going to 'o,' she said. "I really didnt know what I was going to do, I really didn't. I had one foot in and one foot out.
"My pain is often misinterpreted," Leakes added. "I'm not one of those people who actually express how I feel a lot. I keep that inside, and a lot of [my costars] know that. But I do believe that because somebody is louder or moves more boldly, a lot of time those are the people who always get the finger pointed at them. And honestly, that's always the case with me."
PopCulture.com has more info about the recently turbulent times for Leakes on the show:
Leakes has been on RHOA since its 2008 debut, but did leave the series in Season 8 to focus on acting before returning for Season 10. The following year was a tough one for Leakes, who amid her husband's cancer battle, was accused of choking a producer during a massive freakout over the other women entering her closet. Just this season, Leakes had to be physically restrained again during a fight with Kenya Moore.