The couple - who met on the set of TV movie 'Northern Lights' when both were married to other people - have reportedly been pitching a comedy to TV networks.
A source said: ''They've met with a few networks. Nothing is finalised yet, but they're seeing where the show could go.
''They have been shopping around a scripted comedy loosely based on their lives together. They would play versions of themselves, kind of like 'Curb Your Enthusiasm'. They've met with a few networks. Nothing is finalised yet, they're seeing where the should could go.''
The comedy is also taking inspiration from LeAnn's bitter feud with Eddie's ex-wife Brandi Glanville, with the source adding: ''The show will have a crazy ex-wife.''
However, they are keen to keep Eddie and Brandi's children Mason, nine, and six-year-old Jake out of it.
The insider added to Us Weekly magazine: ''Mason and Jake are not involved. If kids end up being on it, they would be played by actors - not Eddie's kids.''