The reality star posted a cryptic message on Thursday, which also happened to be Odom's 35th birthday.
The image was captioned with a purple heart emoji and received over 380,000 likes at the time of publication.
Kardashian filed for divorce back in December 2013 after months of speculation that the pair had split. Unnamed sources have suggested that Odom has neglected to sign the docs or file divorce papers of his own.
The TV personality has had an on-and-off-again relationship with rapper French Montana, though she recently told E! that they haven't put "a title on anything."