The relationship between Khovanov- and Heegaard Floer-type homology invariants is intriguing and still poorly-understood. In this talk, I will describe a connection between Khovanov's categorification of the reduced $n$-colored Jones polynomial and sutured Floer homology, a relative version of Heegaard Floer homology developed by Andras Juhasz. As a corollary, we will prove that Khovanov's categorification detects the unknot when $n>1$. This is joint work with Stephan Wehrli.