diff --git a/test/TEST-10-ISSUE-2467/test.sh b/test/TEST-10-ISSUE-2467/test.sh
index b510627a70..8dabf3f2b6 100755
--- a/test/TEST-10-ISSUE-2467/test.sh
+++ b/test/TEST-10-ISSUE-2467/test.sh
@@ -7,4 +7,16 @@ TEST_DESCRIPTION="https://github.com/systemd/systemd/issues/2467"
 # shellcheck source=test/test-functions
 . "${TEST_BASE_DIR:?}/test-functions"
 
+test_append_files() {
+    (
+        # Collecting coverage slows this particular test quite a bit, causing
+        # it to fail with the default settings (20 triggers per 2 secs)
+        # to trip over the default limit. Let's help it a bit in such case.
+        if get_bool "$IS_BUILT_WITH_COVERAGE"; then
+            mkdir -p "${initdir:?}/etc/systemd/system/test10.socket.d"
+            printf "[Socket]\nTriggerLimitIntervalSec=10\n" >"${initdir:?}/etc/systemd/system/test10.socket.d/coverage-override.conf"
+        fi
+    )
+}
+
 do_test "$@"
diff --git a/test/test-functions b/test/test-functions
index cd9d01f345..79a7f5a71c 100644
--- a/test/test-functions
+++ b/test/test-functions
@@ -1316,8 +1316,19 @@ check_coverage_reports() {
 
     # Create a coverage report that will later be uploaded. Remove info about
     # system libraries/headers, as we don't really care about them.
-    lcov --directory "${root}/${BUILD_DIR:?}" --capture --output-file "${dest}"
-    lcov --remove "${dest}" -o "${dest}" '/usr/include/*' '/usr/lib/*'
+    if [[ -f "$dest" ]]; then
+        # If the destination report file already exists, don't overwrite it, but
+        # dump the new report in a temporary file and then merge it with the already
+        # present one - this usually happens when running both "parts" of a test
+        # in one run (the qemu and the nspawn part).
+        lcov --directory "${root}/${BUILD_DIR:?}" --capture --output-file "${dest}.new"
+        lcov --remove "${dest}.new" -o "${dest}.new" '/usr/include/*' '/usr/lib/*'
+        lcov --add-tracefile "${dest}" --add-tracefile "${dest}.new" -o "${dest}"
+        rm -f "${dest}.new"
+    else
+        lcov --directory "${root}/${BUILD_DIR:?}" --capture --output-file "${dest}"
+        lcov --remove "${dest}" -o "${dest}" '/usr/include/*' '/usr/lib/*'
+    fi
 
     return 0
 }