diff --git a/shared/applicability/oval/system_with_kernel.xml b/shared/applicability/oval/system_with_kernel.xml
index 02334021d08..421715cb237 100644
--- a/shared/applicability/oval/system_with_kernel.xml
+++ b/shared/applicability/oval/system_with_kernel.xml
@@ -18,8 +18,10 @@
 {{{ oval_test_package_installed(package="kernel-default", test_id="inventory_test_kernel_installed") }}}
 {{{ oval_test_package_installed(package="kernel-default-base", test_id="inventory_test_kernel_default_base_installed") }}}
 {{{ oval_test_package_installed(package="kernel-azure", test_id="inventory_test_kernel_azure_installed") }}}
-{{% else %}}
+{{% elif product == "fedora" or "rhel" in product %}}
 {{{ oval_test_package_installed(package="kernel-core", test_id="inventory_test_kernel_installed") }}}
+{{% else %}}
+{{{ oval_test_package_installed(package="kernel", test_id="inventory_test_kernel_installed") }}}
 {{% endif %}}
 {{% if "ol" in families %}}
 {{{ oval_test_package_installed(package="kernel-uek", test_id="inventory_test_kernel_uek_installed") }}}