TMZ is now reporting that Khloe and Lamar's Tarzana home is being pocket listed. But it appears Khloe is only pushing the sale -- which is being showed to qualified buyers -- so she can "start fresh."

Khloe has given several San Fernando Valley realtors a pocket listing -- meaning the house will not appear in the multiple listing service. 

We're told Khloe and Lamar want a cool $4 mil for the house. They paid $3.95 million in 2009.

Our sources say Khloe is the driving force behind the sale, telling realtors she wants to "start fresh and move on."

So the roller coaster ride continues and it's anybody's guess at his point as to if they will stay together or if Khloe will go through with the divorce.
FYI: The Mediterranean home in the gated community of Mulholland Park has seven bedrooms, nine bathroom, a gourmet kitchen, stone floors a movie theater and a gym.

Via RumorFix: The home also has an outdoor kitchen with two refrigerators, a barbecue bit, cabanas and a pool and spa. And they have parking spots for 15 cars!