In this paper, we investigate the notion of almost mixed Jordan homomorphisms between Fréchet algebras. We show that if $A$ is a Fréchet algebra and $T:A\longrightarrow\mathbb{C}$ is an almost mixed Jordan homomorphism, then either $T$ is continuous, or it is a $3$-homomorphism. Moreover, we prove that every almost Jordan homomorphism from a commutative Fréchet algebra $A$ into $\mathbb{C}$ is almost $n$-multiplicative.