The former `Friends` actress - who has dated stars including Vince Vaughn, John Mayer and Paul Sculfor since divorcing Brad Pitt - has reportedly been approached by former MTV programming president Tony DiSanto and ex-senior vice president Liz Gateley about featuring in a fly-on-the-wall series for their new production company.
A source said: "Jen`s a really private person, so everyone will want to know the real her.
"Viewers would kill to see how she goes about her day-to-day life, what she really eats and get an insight into her love life.
"Tony and Liz are renowned for their skill at making realityshows like `The Hills` and `Jersey Shore`. They`ve been desperate to work with her but weren`t too sure what she`d say. Jen is giving it some thought though."
According to the insider, the `Bounty Hunter` star is giving the offer serious consideration, but will only agree if the show gives off the image she wants to promote.
The source added to Now magazine: "Let`s face it, her career isn`t going as well as many expected and anything Liz and Tony touch turns to gold.
"It`s just about coming up with the right show that doesn`t make her look foolish."