diff --git a/.gitlab-ci/test.yml b/.gitlab-ci/test.yml
index 28d2aecf..dc960afe 100644
--- a/.gitlab-ci/test.yml
+++ b/.gitlab-ci/test.yml
@@ -20,8 +20,6 @@ lint-metainfo:
 
 # Run the Rust tests.
 rust-tests:
-  extends:
-    - .remove_build_only_modules
   stage: test
   image: 'quay.io/gnome_infrastructure/gnome-runtime-images:gnome-master'
   tags:
@@ -37,11 +35,11 @@ rust-tests:
     # Initialize the Flatpak sandbox.
     - flatpak-builder --keep-build-dirs --user --disable-rofiles-fuse --stop-at=${FLATPAK_MODULE} flatpak_app --repo=repo ${BRANCH:+--default-branch=$BRANCH} ${MANIFEST_PATH}
     # Run the tests.
-    - echo "cargo-nextest nextest run --config-file ../.gitlab-ci/nextest.toml" | flatpak-builder --disable-rofiles-fuse --build-shell=${FLATPAK_MODULE} flatpak_app ${MANIFEST_PATH}
+    - echo "meson compile src/cargo-test" | flatpak-builder --disable-rofiles-fuse --build-shell=${FLATPAK_MODULE} flatpak_app ${MANIFEST_PATH}
   dependencies: []
   artifacts:
     reports:
-      junit: '.flatpak-builder/build/${FLATPAK_MODULE}/target/nextest/default/junit.xml'
+      junit: '.flatpak-builder/build/${FLATPAK_MODULE}/_flatpak_build/src/junit.xml'
 
 # Test that there are no errors in the docs.
 build-docs:
@@ -62,8 +60,8 @@ build-docs:
     # Do not use the mold linker because it doesn't work with the rust-nightly extension at the moment
     - sed -i 's|-C link-arg=-fuse-ld=mold||g' ${MANIFEST_PATH}
     - flatpak-builder --keep-build-dirs --user --disable-rofiles-fuse --stop-at=${FLATPAK_MODULE} flatpak_app --repo=repo ${BRANCH:+--default-branch=$BRANCH} ${MANIFEST_PATH}
-    - echo "ninja src/doc" | flatpak-builder --disable-rofiles-fuse --build-shell=${FLATPAK_MODULE} flatpak_app ${MANIFEST_PATH}
-    - tar --auto-compress --create --file "${CI_PROJECT_DIR}/${CI_PROJECT_NAME}-docs.tar.gz" --directory ".flatpak-builder/build/${FLATPAK_MODULE}/_flatpak_build/cargo-target/doc" .
+    - echo "meson compile src/cargo-doc" | flatpak-builder --disable-rofiles-fuse --build-shell=${FLATPAK_MODULE} flatpak_app ${MANIFEST_PATH}
+    - tar --auto-compress --create --file "${CI_PROJECT_DIR}/${CI_PROJECT_NAME}-docs.tar.gz" --directory ".flatpak-builder/build/${FLATPAK_MODULE}/_flatpak_build/src/doc" .
   dependencies: []
   artifacts:
     paths:
diff --git a/meson.build b/meson.build
index 62096485..18f2e8b7 100644
--- a/meson.build
+++ b/meson.build
@@ -3,7 +3,7 @@ project(
     'rust',
     version: '13',
     license: 'GPL-3.0-or-later',
-    meson_version: '>= 1.2',
+    meson_version: '>= 1.4',
 )
 
 fs = import('fs')
@@ -112,6 +112,18 @@ if profile == 'Devel'
     run_command('cp', '-f', 'hooks/pre-commit.hook', '.git/hooks/pre-commit')
 endif
 
+# Generate nextest config file
+# We generate it dynamically to put the test report inside the build directory,
+# like all other artefacts
+nextest_store_dir = meson.project_build_root() / 'nextest'
+nextest_data = configuration_data()
+nextest_data.set_quoted('STORE_DIR', nextest_store_dir)
+nextest_config = configure_file(
+    input: 'nextest.toml.in',
+    output: 'nextest.toml',
+    configuration: nextest_data,
+)
+
 if not build_env_only
     subdir('data')
     subdir('po')
diff --git a/.gitlab-ci/nextest.toml b/nextest.toml.in
similarity index 74%
rename from .gitlab-ci/nextest.toml
rename to nextest.toml.in
index bdf488cd..e070eb3f 100644
--- a/.gitlab-ci/nextest.toml
+++ b/nextest.toml.in
@@ -1,3 +1,6 @@
+[store]
+dir = @STORE_DIR@
+
 [profile.default]
 fail-fast = false
 
diff --git a/src/meson.build b/src/meson.build
index 16996404..42a321c9 100644
--- a/src/meson.build
+++ b/src/meson.build
@@ -87,9 +87,6 @@ run_command(
 # Cargo settings
 cargo_options = ['--manifest-path', meson.project_source_root() / 'Cargo.toml']
 
-target_dir = meson.project_build_root() / 'cargo-target'
-cargo_options += ['--target-dir', target_dir]
-
 if profile == 'Devel'
     rust_target = 'debug'
     message('Building in debug mode')
@@ -99,7 +96,12 @@ else
     message('Building in release mode')
 endif
 
-cargo_env = ['CARGO_HOME=' + meson.project_build_root() / 'cargo-home']
+cargo_target_dir = meson.project_build_root() / 'cargo-target'
+
+cargo_env = [
+    'CARGO_HOME=' + meson.project_build_root() / 'cargo-home',
+    'CARGO_TARGET_DIR=' + cargo_target_dir,
+]
 
 if not build_env_only
     # Build binary with cargo
@@ -120,7 +122,30 @@ if not build_env_only
             cargo_options,
             '&&',
             'cp',
-            target_dir / rust_target / meson.project_name(),
+            cargo_target_dir / rust_target / meson.project_name(),
+            '@OUTPUT@',
+        ],
+    )
+
+    # Run Rust tests with cargo-nextest
+    custom_target(
+        'cargo-test',
+        build_always_stale: true,
+        output: 'junit.xml',
+        console: true,
+        depends: [resources, ui_resources],
+        command: [
+            'env',
+            cargo_env,
+            'cargo-nextest',
+            'nextest',
+            'run',
+            cargo_options,
+            '--config-file',
+            nextest_config.full_path(),
+            '&&',
+            'cp',
+            nextest_store_dir / 'default/junit.xml',
             '@OUTPUT@',
         ],
     )
@@ -169,5 +194,10 @@ custom_target(
         cargo,
         'doc',
         cargo_options + doc_deps + ['--no-deps', '-Zrustdoc-map'],
+        '&&',
+        'cp',
+        '-r',
+        cargo_target_dir / 'doc',
+        '@OUTPUT@',
     ],
 )