TV Personalities Khloe Kardashian and Kim Kardashian attend the 21st Annual Elton John AIDS Foundation Academy Awards Viewing Party at Pacific Design Center on February 24, 2013 in West Hollywood, California. Credit: Dimitrios Kambouris/Getty Images for EJAF

Kim Kardashian  and her baby-to-be have the support of her fans -- and her family. Shortly after news broke that the pregnant reality star, 32, was on doctor-ordered rest following a health scare, her sister Khloe addressed the situation -- with gratitude -- on her blog.

"A lot of you have expressed concern in the recent hours about Kim," Khloe, 28, wrote. "And I just wanted to let you all know that mommy and baby are doing fine and just taking it easy right now."

A pal told Us Weekly earlier on Thursday, March 7, that Kim "just needs to take a little rest" following a mandate from her doctor. The E! star arrived back home in Los Angeles on Tuesday following a trip to Paris. "She's been working a lot, and [plus] a divorce and the move and everything else she has going on," the pal note.

Added Khloe on her blog of the well-wishers: "Thank you so much to all of our wonderful fans and loved ones for your concern and support. We love you!"