"We do appreciate all of your guys' love and support. It will take time. It was horrible what happened to her."
Khloe admitted the incident has been a "wake-up call" for her social media-friendly family, who are often posting tweets and sharing Instagram pictures and Snapchat videos of their whereabouts.
Speaking on The Ellen DeGeneres Show, the 32-year-old star added: "It's just a wake-up call to make a lot of life adjustments. This is a really serious matter.
"For Kim I think it's really personal as to when that emotional, like, terror you could move on from.
"It's a wake-up call for all of us, but definitely [the focus is] just to make sure our sister is OK.
"Like I said, we're a family, we'll do this together. I think it's important to make those adjustments and to pull back a little bit I think is always smart."
Late last week, Khloe and her half-sisters Kendall and Kylie Jenner cancelled a number of planned public appearances in the wake of Kim's horrific ordeal.
A source said at the time: "Due to recent events and ongoing security issues, all signings have been cancelled."
Kim - who has three-year-old daughter North and 10-month-old son Saint, with husband Kanye West - is said to have told police investigating the incident that her robbers acted like amateurs after putting her in the bath and taking her out again before pointing a gun at her a second time.
- Bang! Showbiz