The singer gave birth to twins Moroccan Scott and Monroe on April 30, and since then Cannon and Carey have disagreed on whether or not to have more children.
However, the TV presenter has insisted that two children is more than enough for the pair.
Cannon told In Touch magazine: "I do [want more children], Mariah doesn't! She was like, 'That's it, I'm done! Two at once!'
"It was an intense pregnancy to carry twins around. She was a trooper. She's feeling amazing now. She's back on her feet doing her thing."
Cannon added that he may encourage his children to try a different kind of career path than their famous parents.
"There are so many other aspiring things to be in life. I always think we put too much emphasis on the entertainment world. I would love it if my children were doctors," he said.
Cannon recently revealed that Carey found motherhood an "eye-opening" experience.