Here's the arrangement ... Olivia got an appointed authority to give her and Jason a transitory controlling request to shield them from a supposed stalker in Los Angeles, and in the lawful docs OW said, "I live with Mr. Sudeikis and our two youngsters," which raised a ton of eyebrows since she's currently with Harry Styles.

 Despite the fact that I Said 


Olivia Wilde isn't living under a similar rooftop as her ex Jason Sudeikis, in spite of her own words to an appointed authority ... TMZ has learned. 





Here's the arrangement ... Olivia got an appointed authority to give her and Jason a transitory controlling request to shield them from a supposed stalker in Los Angeles, and in the lawful docs OW said, "I live with Mr. Sudeikis and our two youngsters," which raised a ton of eyebrows since she's currently with Harry Styles.


Sources close to Olivia and Jason tell TMZ ... the former couple does NOT live together, although they're both in the United Kingdom co-parenting their two kids. We're told the exes, who split in November, maintain separate residences.

As we first told you ... Olivia and Harry have been a couple since at least early January, when he brought her to a wedding as his plus one.


It's unclear why Olivia said in legal docs she was living with Jason, but we're told her intention was to get court-ordered protection for herself, her family and her extended family.

Olivia filed for the restraining order with the help of her lawyer, Shawn Holley ... we're told Jason did not participate in the filing.



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