diff --git a/gnu/local.mk b/gnu/local.mk
index 82d9a31bd1..1e919c8483 100644
--- a/gnu/local.mk
+++ b/gnu/local.mk
@@ -673,7 +673,6 @@ dist_patch_DATA =						\
   %D%/packages/patches/libcanberra-sound-theme-freedesktop.patch \
   %D%/packages/patches/libcmis-fix-test-onedrive.patch		\
   %D%/packages/patches/libdrm-symbol-check.patch		\
-  %D%/packages/patches/libepoxy-gl-null-checks.patch		\
   %D%/packages/patches/libevent-dns-tests.patch			\
   %D%/packages/patches/libevent-2.0-CVE-2016-10195.patch	\
   %D%/packages/patches/libevent-2.0-CVE-2016-10196.patch	\
diff --git a/gnu/packages/gl.scm b/gnu/packages/gl.scm
index 775d656e17..53f720ac2a 100644
--- a/gnu/packages/gl.scm
+++ b/gnu/packages/gl.scm
@@ -456,25 +456,20 @@ OpenGL graphics API.")
 (define-public libepoxy
   (package
     (name "libepoxy")
-    (version "1.3.1")
+    (version "1.4.0")
     (source (origin
               (method url-fetch)
               (uri (string-append
-                    "https://github.com/anholt/libepoxy/archive/v"
+                    "https://github.com/anholt/libepoxy/releases/download/v"
+                    (version-major+minor version) "/libepoxy-"
                     version
-                    ".tar.gz"))
-              (file-name (string-append name "-" version ".tar.gz"))
+                    ".tar.xz"))
               (sha256
                (base32
-                "1d1brhwfmlzgnphmdwlvn5wbcrxsdyzf1qfcf8nb89xqzznxs037"))
-              (patches (search-patches "libepoxy-gl-null-checks.patch"))))
+                "0hdbaapbxjjfdqsdvag460kfjvs800da5sngi2sc46wj9aqhda95"))))
     (arguments
      `(#:phases
        (modify-phases %standard-phases
-         (add-after
-           'unpack 'autoreconf
-           (lambda _
-             (zero? (system* "autoreconf" "-vif"))))
          (add-before
            'configure 'patch-paths
            (lambda* (#:key inputs #:allow-other-keys)
@@ -485,23 +480,10 @@ OpenGL graphics API.")
                (substitute* (find-files "." "\\.[ch]$")
                  (("libGL.so.1") (string-append mesa "/lib/libGL.so.1"))
                  (("libEGL.so.1") (string-append mesa "/lib/libEGL.so.1")))
-
-               ;; XXX On armhf systems, we must add "GLIBC_2.4" to the list of
-               ;; versions in test/dlwrap.c:dlwrap_real_dlsym.  It would be
-               ;; better to make this a normal patch, but for now we do it here
-               ;; to prevent rebuilding on other platforms.
-               ,@(if (string-prefix? "arm" (or (%current-target-system)
-                                               (%current-system)))
-                     '((substitute* '"test/dlwrap.c"
-                         (("\"GLIBC_2\\.0\"") "\"GLIBC_2.0\", \"GLIBC_2.4\"")))
-                     '())
                #t))))))
     (build-system gnu-build-system)
     (native-inputs
-     `(("autoconf" ,autoconf)
-       ("automake" ,automake)
-       ("libtool" ,libtool)
-       ("pkg-config" ,pkg-config)
+     `(("pkg-config" ,pkg-config)
        ("python" ,python)))
     (inputs
      `(("mesa" ,mesa)))
diff --git a/gnu/packages/patches/libepoxy-gl-null-checks.patch b/gnu/packages/patches/libepoxy-gl-null-checks.patch
deleted file mode 100644
index bdc4b05989..0000000000
--- a/gnu/packages/patches/libepoxy-gl-null-checks.patch
+++ /dev/null
@@ -1,54 +0,0 @@
-This patch from <https://bugzilla.redhat.com/show_bug.cgi?id=1395366> adds NULL
-checks to avoid crashes when GL support is missing, as is the case when running
-Xvfb.
-
-Upstream issue: <https://github.com/anholt/libepoxy/issues/72>.
-
-diff -ur libepoxy-1.3.1/src/dispatch_common.c libepoxy-1.3.1/src/dispatch_common.c
---- libepoxy-1.3.1/src/dispatch_common.c	2015-07-15 19:46:36.000000000 -0400
-+++ libepoxy-1.3.1/src/dispatch_common.c	2016-11-16 09:03:52.809066247 -0500
-@@ -348,6 +348,8 @@
- epoxy_extension_in_string(const char *extension_list, const char *ext)
- {
-     const char *ptr = extension_list;
-+    if (! ptr) return false;
-+    if (! ext) return false;
-     int len = strlen(ext);
- 
-     /* Make sure that don't just find an extension with our name as a prefix. */
-@@ -380,6 +382,7 @@
- 
-         for (i = 0; i < num_extensions; i++) {
-             const char *gl_ext = (const char *)glGetStringi(GL_EXTENSIONS, i);
-+            if (! gl_ext) return false;
-             if (strcmp(ext, gl_ext) == 0)
-                 return true;
-         }
-diff -ur libepoxy-1.3.1/src/dispatch_egl.c libepoxy-1.3.1/src/dispatch_egl.c
---- libepoxy-1.3.1/src/dispatch_egl.c	2015-07-15 19:46:36.000000000 -0400
-+++ libepoxy-1.3.1/src/dispatch_egl.c	2016-11-16 08:40:34.069358709 -0500
-@@ -46,6 +46,7 @@
-     int ret;
- 
-     version_string = eglQueryString(dpy, EGL_VERSION);
-+    if (! version_string) return 0;
-     ret = sscanf(version_string, "%d.%d", &major, &minor);
-     assert(ret == 2);
-     return major * 10 + minor;
-diff -ur libepoxy-1.3.1/src/dispatch_glx.c libepoxy-1.3.1/src/dispatch_glx.c
---- libepoxy-1.3.1/src/dispatch_glx.c	2015-07-15 19:46:36.000000000 -0400
-+++ libepoxy-1.3.1/src/dispatch_glx.c	2016-11-16 08:41:03.065730370 -0500
-@@ -57,11 +57,13 @@
-     int ret;
- 
-     version_string = glXQueryServerString(dpy, screen, GLX_VERSION);
-+    if (! version_string) return 0;
-     ret = sscanf(version_string, "%d.%d", &server_major, &server_minor);
-     assert(ret == 2);
-     server = server_major * 10 + server_minor;
- 
-     version_string = glXGetClientString(dpy, GLX_VERSION);
-+    if (! version_string) return 0;
-     ret = sscanf(version_string, "%d.%d", &client_major, &client_minor);
-     assert(ret == 2);
-     client = client_major * 10 + client_minor;