The photo saw the tot pull a face and pout for the camera, reported the Daily Mail.
Kim appeared makeup free and wore a tracksuit in the background.
Using a filter, there were love hearts added all around Chi in the photo.
And it appears as though the newborn has a special place in Kim's heart, giving her the same middle name as her own.
But the special name isn't too much of a surprise, with eagle-eyed fans actually tipping Noel to have been her first name before her birth.
With Kim's eldest child, North, starting with the letter "N", fans believed she would keep the letter for her second daughter.
Other fans were tipping her name to have been Star or Noel after the "North Star" - (the way Kim previously described the meaning behind North's name).
Noel was also on the table as Chi was due around Christmas Day, perfectly complimented the Holiday theme of North and Saint and it had fitted into Kim's previous confession that she wanted a one syllable name.
Like Kim, husband and baby daddy Kanye also has a middle name - Omari.