diff --git a/.gitlab-ci/Dockerfile b/.gitlab-ci/Dockerfile
index f755b126c..dafa5ac24 100644
--- a/.gitlab-ci/Dockerfile
+++ b/.gitlab-ci/Dockerfile
@@ -5,7 +5,7 @@ RUN dnf -y update && dnf -y upgrade && \
     dnf builddep -y mutter && \
 
     # Until Fedora catches up with meson build-deps
-    dnf install -y meson xorg-x11-server-Xorg gnome-settings-daemon-devel egl-wayland-devel xorg-x11-server-Xwayland mesa-libGLU-devel && \
+    dnf install -y meson xorg-x11-server-Xorg gnome-settings-daemon-devel egl-wayland-devel xorg-x11-server-Xwayland && \
 
     # For running unit tests
     dnf install -y xorg-x11-server-Xvfb mesa-dri-drivers dbus dbus-x11 && \
diff --git a/cogl/cogl-path/meson.build b/cogl/cogl-path/meson.build
index 37cd18fc4..7df5636cc 100644
--- a/cogl/cogl-path/meson.build
+++ b/cogl/cogl-path/meson.build
@@ -50,7 +50,6 @@ cogl_path_sources += libmutter_cogl_path_enum_types
 
 cogl_path_c_args = [
   cogl_c_args,
-  '-I@0@'.format(glu_dep.get_pkgconfig_variable('includedir')),
 ]
 
 libmutter_cogl_path = shared_library('mutter-cogl-path-' + libmutter_api_version,
diff --git a/cogl/cogl-path/tesselator/mesh.h b/cogl/cogl-path/tesselator/mesh.h
index 690c5f2f6..ede4798a3 100644
--- a/cogl/cogl-path/tesselator/mesh.h
+++ b/cogl/cogl-path/tesselator/mesh.h
@@ -35,7 +35,7 @@
 #ifndef __mesh_h_
 #define __mesh_h_
 
-#include <GL/glu.h>
+#include <GL/gl.h>
 
 typedef struct GLUmesh GLUmesh; 
 
diff --git a/cogl/cogl-path/tesselator/normal.h b/cogl/cogl-path/tesselator/normal.h
index c376ca445..b699e087a 100644
--- a/cogl/cogl-path/tesselator/normal.h
+++ b/cogl/cogl-path/tesselator/normal.h
@@ -36,6 +36,7 @@
 #define __normal_h_
 
 #include "tess.h"
+#include "tesselator.h"
 
 /* __gl_projectPolygon( tess ) determines the polygon normal
  * and project vertices onto the plane of the polygon.
diff --git a/cogl/cogl-path/tesselator/render.h b/cogl/cogl-path/tesselator/render.h
index a298c9a94..e0621e84e 100644
--- a/cogl/cogl-path/tesselator/render.h
+++ b/cogl/cogl-path/tesselator/render.h
@@ -36,6 +36,7 @@
 #define __render_h_
 
 #include "mesh.h"
+#include "tesselator.h"
 
 /* __gl_renderMesh( tess, mesh ) takes a mesh and breaks it into triangle
  * fans, strips, and separate triangles.  A substantial effort is made
diff --git a/cogl/cogl-path/tesselator/sweep.h b/cogl/cogl-path/tesselator/sweep.h
index feb68b0ff..8b3857796 100644
--- a/cogl/cogl-path/tesselator/sweep.h
+++ b/cogl/cogl-path/tesselator/sweep.h
@@ -36,6 +36,7 @@
 #define __sweep_h_
 
 #include "mesh.h"
+#include "tesselator.h"
 
 /* __gl_computeInterior( tess ) computes the planar arrangement specified
  * by the given contours, and further subdivides this arrangement
diff --git a/cogl/cogl-path/tesselator/tess.h b/cogl/cogl-path/tesselator/tess.h
index 162496088..061dd760c 100644
--- a/cogl/cogl-path/tesselator/tess.h
+++ b/cogl/cogl-path/tesselator/tess.h
@@ -35,7 +35,6 @@
 #ifndef __tess_h_
 #define __tess_h_
 
-#include <GL/glu.h>
 #include <setjmp.h>
 #include "mesh.h"
 #include "dict.h"
diff --git a/meson.build b/meson.build
index 4db8b8cfc..cb3e77a58 100644
--- a/meson.build
+++ b/meson.build
@@ -120,7 +120,6 @@ xinerama_dep = dependency('xinerama')
 ice_dep = dependency('ice')
 atk_dep = dependency('atk', version: atk_req)
 libcanberra_dep = dependency('libcanberra', version: libcanberra_req)
-glu_dep = dependency('glu')
 
 # For now always require X11 support
 have_x11 = true