The pair, who have been dating for seven months, were apparently spotted house hunting in the Miami area recently.
Sources tell TMZ that the couple looked at four homes on Monday (October 8).
According to the insiders, the homes that Kardashian and West viewed ranged in price from $7 million (£4 million) to $10 million (£6 million).
Kardashian will reportedly be in town for the next several months as she shoots a reality show with sister Kourtney.
The 31-year-old was recently quoted as saying that she considers West to be her best friend.