The new series will document the 76-year-old actor's home life, and Sylvester has called it "the ultimate home movie."
He clarified: "This is an opportunity for me to spend time with my children while working, allowing them to see me in action and me to watch them in action. The actual truth will be revealed to you. This is a wonderful chance.
"I don't see it as bowing down to win. But once you take a turn, they always say, "Oh God, you must be in trouble." the exact opposite."
The actor's 25-year wife, Jennifer Flavin, filed for divorce in August.
And even though they have since patched things up, their marital problems will be a big feature of the next reality show.
According to Stallone, The Hollywood Reporter: "Of course, it's a component of the programme. Life is what happens while you're making other plans, according to John Lennon. Ideally, the people you're connected to comprehend life's quirks, fragility, and the rarity of truly satisfying relationships.
"There are moments when I prioritise work over [my family], and that is a catastrophic error that won't happen again."
In August, Jennifer petitioned a Florida court "for dissolution of marriage and other relief."
Scarlet, 20, Sistine, 24, and Sophia, 26, are the couple's daughters. Stallone later made the following comment in a statement: "I cherish my family. We are resolving these private matters peacefully and in private."
On the other hand, Jennifer, who first met Stallone in 1988 in Beverly Hills, California, celebrated her silver wedding anniversary earlier this year on social media.
She posted on Instagram a few old pictures of her and her husband and added: "We wish you a happy 25th wedding anniversary! (heart emojis) I'm grateful to you for keeping me happy, for loving and guarding our wonderful family. (sic)"