Montag -- who wed Pratt in April 2009 -- moved out of the Pacific Palisades, CA home early last week, but hasn't filed for divorce.
"I've always loved Spencer, but right now we're working on things," she told People.
The 23-year-old plans on spending the summer living with friend Jen Bunney, who has previously stated that their time together will be filmed for a new reality series.
In addition, Montag is also working on writing a movie script.
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