Both stars are yet to publicly comment on the reports.
The couple's relationship has reportedly been under strain as West publicly deals with mental health struggles - and was pursuing a presidential campaign that failed.
The couple had a few bumps in their marriage last year. In December it was reported the pair were living separate lives. A source told E! Online the couple were "doing their own thing" and "spend a lot of time apart".
"This isn't the first time they've been talking about a split, but this time it is way, way more serious," the source added.
The couple have been married since 2014 and they share four children together.
Kardashian has reportedly been spotted without her wedding ring and West stayed at his Wyoming ranch over the holiday season instead of joining the rest of the family for Christmas celebrations.
In the past few years, Kardashian has become a figure within US law using her platforms and name to appeal many sentences including the Brandon Bernard, who was sentenced to death for his part in a double murder in 1999. He was executed late last year.
The E! reality show Keeping Up With The Kardashians, which launched the careers of the famous family, is coming to an end in 2021 after 20 seasons.