diff --git a/package/ci/circleci.yml b/package/ci/circleci.yml
index f58b0d723..0bf259694 100644
--- a/package/ci/circleci.yml
+++ b/package/ci/circleci.yml
@@ -333,6 +333,8 @@ jobs:
       CMAKE_CXX_FLAGS: --coverage
       LCOV_EXTRA_OPTS: --gcov-tool /usr/bin/gcov-4.8
       CONFIGURATION: Debug
+      # STUPID yml interprets unquoted ON as a boolean
+      TARGET_EGL: "ON"
       EXTRA_OPTS: >
         -DMAGNUM_WITH_GLXAPPLICATION=ON
         -DMAGNUM_WITH_XEGLAPPLICATION=ON
@@ -362,6 +364,14 @@ jobs:
     environment:
       CMAKE_CXX_FLAGS: --coverage
       CONFIGURATION: Debug
+      # The ARM64 job is a machine job, not a VM, which means running GL tests
+      # will get more expensive. But it's a newer Ubuntu version, meaning it
+      # could provide better coverage than the base job, so enabling EGL to run
+      # the tests. OTOH, the ASan and TSan jobs have them disabled, so the GLX
+      # code paths are tested there. (Also STUPID yml interprets unquoted ON as
+      # a boolean.)
+      # TODO switch to OFF when the main job is upgraded to a newer OS version
+      TARGET_EGL: "ON"
       EXTRA_OPTS: >
         -DMAGNUM_WITH_GLXAPPLICATION=ON
         -DMAGNUM_WITH_XEGLAPPLICATION=ON
@@ -489,6 +499,8 @@ jobs:
       CMAKE_CXX_FLAGS: --coverage
       LCOV_EXTRA_OPTS: --gcov-tool /usr/bin/gcov-4.8
       CONFIGURATION: Debug
+      # STUPID yml interprets unquoted ON as a boolean
+      TARGET_EGL: "ON"
     steps:
     # libidn11 needed by CMake
     - install-base-linux:
@@ -514,6 +526,8 @@ jobs:
       BUILD_DEPRECATED: "OFF"
       CMAKE_CXX_FLAGS: -DCORRADE_NO_ASSERT
       CONFIGURATION: Release
+      # STUPID yml interprets unquoted ON as a boolean
+      TARGET_EGL: "ON"
       EXTRA_OPTS: >
         -DMAGNUM_WITH_GLXAPPLICATION=ON
         -DMAGNUM_WITH_XEGLAPPLICATION=ON
@@ -547,6 +561,17 @@ jobs:
       BUILD_APPLICATIONS: "OFF"
       CMAKE_CXX_FLAGS: -fsanitize=address
       CONFIGURATION: Debug
+      # llvmpipe on Mesa 20 on 18.04 seems to be leaking somewhere, reporting
+      # two 56 byte leaks from calloc in <unknown module>, so not suppressible
+      # in any way. Not reproducible with Mesa 25 Intel, Mesa 25 llvmpipe has
+      # random GLX leaks, so I guess the driver is just in a perpetual state of
+      # disrepair. Additionally it reports an ODR violation for
+      # GL::defaultFramebuffer due to complex yet-unresolved reasons explained
+      # in https://github.com/mosra/magnum/pull/565. (Also STUPID yml
+      # interprets unquoted ON as a boolean.)
+      # TODO retry when upgrading to a newer OS version or when that PR is
+      #   merged
+      TARGET_EGL: "OFF"
       EXTRA_OPTS: >
         -DMAGNUM_WITH_GLXAPPLICATION=ON
         -DMAGNUM_WITH_XEGLAPPLICATION=ON
@@ -588,6 +613,11 @@ jobs:
       BUILD_APPLICATIONS: "OFF"
       CMAKE_CXX_FLAGS: -fsanitize=thread
       CONFIGURATION: Debug
+      # The TSan job is a (more expensive) machine job, not a VM, so don't run
+      # the GL tests there (and thus do at least a compile test for the GLX
+      # codepath).
+      # TODO in case it can ever be made a VM again, switch those on
+      TARGET_EGL: "OFF"
       EXTRA_OPTS: >
         -DMAGNUM_WITH_GLXAPPLICATION=ON
         -DMAGNUM_WITH_XEGLAPPLICATION=ON
diff --git a/package/ci/unix-desktop.sh b/package/ci/unix-desktop.sh
index 014a5749d..043c18f5f 100755
--- a/package/ci/unix-desktop.sh
+++ b/package/ci/unix-desktop.sh
@@ -32,6 +32,7 @@ cmake .. \
     -DCMAKE_CXX_FLAGS="$CMAKE_CXX_FLAGS" \
     -DCMAKE_INSTALL_PREFIX=$HOME/deps \
     -DCMAKE_BUILD_TYPE=$CONFIGURATION \
+    -DMAGNUM_TARGET_EGL=$TARGET_EGL \
     -DMAGNUM_WITH_AUDIO=ON \
     -DMAGNUM_WITH_VK=ON \
     -DMAGNUM_WITH_GLFWAPPLICATION=$BUILD_APPLICATIONS \
@@ -66,7 +67,31 @@ cmake .. \
     $EXTRA_OPTS \
     -G Ninja
 ninja $NINJA_JOBS
-ASAN_OPTIONS="color=always" LSAN_OPTIONS="color=always suppressions=$(pwd)/../package/ci/leaksanitizer.conf" TSAN_OPTIONS="color=always" CORRADE_TEST_COLOR=ON ctest -V -E "GLTest|GLBenchmark|VkTest"
+
+export CORRADE_TEST_COLOR=ON
+# Sanitizer options are used only in sanitizer builds, they do nothing
+# elsewhere
+export ASAN_OPTIONS="color=always"
+export LSAN_OPTIONS="color=always suppressions=$(pwd)/../package/ci/leaksanitizer.conf"
+export TSAN_OPTIONS="color=always"
+
+# Run GL tests if we can use llvmpipe through EGL. (Not benchmarks because I'm
+# not interested in knowing speed of a random software GPU emulation, further
+# offset by inherent randomness of a CI VM.) Enabled only on some builds to
+# make sure the MAGNUM_TARGET_EGL=OFF option is at least compile-tested too.
+if [ "$TARGET_EGL" == "ON" ]; then
+    # Keep in sync with package/archlinux/PKGBUILD and PKGBUILD-coverage
+    ctest -V -E "GLBenchmark|VkTest"
+    MAGNUM_DISABLE_EXTENSIONS="GL_ARB_invalidate_subdata GL_ARB_multi_bind GL_ARB_robustness GL_ARB_separate_shader_objects GL_ARB_texture_storage GL_ARB_texture_storage_multisample GL_ARB_shading_language_420pack GL_ARB_explicit_uniform_location GL_ARB_explicit_attrib_location GL_ARB_texture_filter_anisotropic" ctest -V -R GLTest
+    MAGNUM_DISABLE_EXTENSIONS="GL_ARB_direct_state_access" ctest -V -R GLTest
+    MAGNUM_DISABLE_EXTENSIONS="GL_ARB_get_texture_sub_image" ctest -V -R GLTest
+    MAGNUM_DISABLE_EXTENSIONS="GL_ARB_vertex_array_object" ctest -V -R GLTest
+    MAGNUM_DISABLE_EXTENSIONS="GL_ARB_uniform_buffer_object GL_ARB_shader_storage_buffer_object" ctest -V -R GLTest
+    MAGNUM_DISABLE_EXTENSIONS="GL_KHR_debug" ctest -V -R GLTest
+    $CONFIGURATION/bin/magnum-gl-info --limits
+else
+    ctest -V -E "GLTest|GLBenchmark|VkTest"
+fi
 
 # Test install, after running the tests as for them it shouldn't be needed
 ninja install