The low premaxilla possessed at least six teeth and a notch at the rear of the tooth row, similar to Dromicosuchus.
Like other archosaurs, the premaxilla has a palatal process, an internally-oriented projection which forms the front of the palate (roof of the mouth).
There is a conspicuous gap in this process which may have manifested as a small hole in the palate.
This hole is also observed in certain other early crocodylomorphs, and it may accommodate an enlarged fourth tooth of the lower jaw.
Premaxillary teeth are slender, serrated, and recurved.
The maxilla has a long ascending process (upper branch) which remains a consistent height throughout its length.
Other pseudosuchians either have a much shorter ascending process (early crocodylomorphs) or one which expands (rauisuchids) or tapers (more basal taxa) towards the rear.
The posterior process (lower branch) of the maxilla is even longer, holding at least 15 teeth.
Maxillary teeth are serrated and knife-like, with the front edge being significantly convex and the rear side being slightly convex.
The posterior process is low and circular in cross-section at the front but deepens and thins towards the rear, a change in shape unique to Carnufex among loricatans.
It also supports a sharp ridge which terminates at the rear lower corner of the antorbital fenestra.
The antorbital fenestra itself takes the form of a very large and elongated triangular hole.
Distinctly, the upper rear corner of the fenestra in Carnufex is situated above the lower rear corner, making the rear edge of the antorbital fenestra vertical rather than slanted forwards as in other early crocodylomorphs.
The lacrimal is deeply incised by the antorbital fossa (the basin surrounding the antorbital fenestra).
This fossa is rimmed by a rough ridge possessing a small but characteristic forward prong similar to that seen in some theropod dinosaurs.
The outer surface of the jugal is also covered with pits and ridges.
The anterior process (front portion) of the jugal is tall and unusually smooth and rounded in shape.
The jugal's posterior process (rear branch) is bifurcated, with a large and tapering main portion and a smaller triangular branch forking up from it.
A bifurcated posterior jugal is present in other early crocodylomorphs as well as dinosaurs, but in the latter group the two portions are equal in size, unlike the case with Carnufex.

The angular is thin and slender, with subtle branched texturing.
A pronounced ridge crops out at the outer rear portion of the bone.
This ridge likely supports the pterygoideus ventralis muscle, although a similarly distinct ridge is rare among other crocodylomorphs, only known in Junggarsuchus.
Otherwise, the angular is similar to that of Sphenosuchus.
The articular is generally similar to that of other crocodylomorphs, with a saddle-shapped jaw facet, a deep groove for the chorda tympani nerve, and a small upwards projection at the rear of the bone.
It also possesses a medial process (inwards branch) akin to that of earlier pseudosuchians like Postosuchus, although the medial process of Carnufex is a small, conical peak rather than a large projection.
The low premaxilla possessed at least six teeth and a notch at the rear of the tooth row, similar to Dromicosuchus. Like other archosaurs, the premaxilla has a palatal process, an internally-oriented projection which forms the front of the palate (roof of the mouth). There is a conspicuous gap in this process which may have manifested as a small hole in the palate. This hole is also observed in certain other early crocodylomorphs, and it may accommodate an enlarged fourth tooth of the lower jaw. Premaxillary teeth are slender, serrated, and recurved. The maxilla has a long ascending process (upper branch) which remains a consistent height throughout its length. Other pseudosuchians either have a much shorter ascending process (early crocodylomorphs) or one which expands (rauisuchids) or tapers (more basal taxa) towards the rear. The posterior process (lower branch) of the maxilla is even longer, holding at least 15 teeth. Maxillary teeth are serrated and knife-like, with the front edge being significantly convex and the rear side being slightly convex. The posterior process is low and circular in cross-section at the front but deepens and thins towards the rear, a change in shape unique to Carnufex among loricatans. It also supports a sharp ridge which terminates at the rear lower corner of the antorbital fenestra. The antorbital fenestra itself takes the form of a very large and elongated triangular hole. Distinctly, the upper rear corner of the fenestra in Carnufex is situated above the lower rear corner, making the rear edge of the antorbital fenestra vertical rather than slanted forwards as in other early crocodylomorphs. The lacrimal is deeply incised by the antorbital fossa (the basin surrounding the antorbital fenestra). This fossa is rimmed by a rough ridge possessing a small but characteristic forward prong similar to that seen in some theropod dinosaurs. The outer surface of the jugal is also covered with pits and ridges. The anterior process (front portion) of the jugal is tall and unusually smooth and rounded in shape. The jugal's posterior process (rear branch) is bifurcated, with a large and tapering main portion and a smaller triangular branch forking up from it. A bifurcated posterior jugal is present in other early crocodylomorphs as well as dinosaurs, but in the latter group the two portions are equal in size, unlike the case with Carnufex.
The angular is thin and slender, with subtle branched texturing. A pronounced ridge crops out at the outer rear portion of the bone. This ridge likely supports the pterygoideus ventralis muscle, although a similarly distinct ridge is rare among other crocodylomorphs, only known in Junggarsuchus. Otherwise, the angular is similar to that of Sphenosuchus. The articular is generally similar to that of other crocodylomorphs, with a saddle-shapped jaw facet, a deep groove for the chorda tympani nerve, and a small upwards projection at the rear of the bone. It also possesses a medial process (inwards branch) akin to that of earlier pseudosuchians like Postosuchus, although the medial process of Carnufex is a small, conical peak rather than a large projection.
Carnufex