  We show that loci of crystalline representations of $G_K$ for
$K/\mathbb{Q}_p$ an unramified extension are irreducible when the Hodge--Tate
weights are fixed and sufficiently small. This was previously known for weights
in the interval $[-p,0]$ and in this paper we show how that this bound can be
relaxed provided the Hodge--Tate weights are sufficiently irregular at certain
embeddings. This is motivated by the desire to extend the conjectures of
Breuil--M\'ezard on loci of potentially crystalline representations to
irregular weights.
