diff --git a/x-pack/plugins/index_lifecycle_management/public/application/sections/edit_policy/components/data_tier_allocation/default_allocation_notice.tsx b/x-pack/plugins/index_lifecycle_management/public/application/sections/edit_policy/components/data_tier_allocation/default_allocation_notice.tsx
index 21dfb3e3ee217..8faa9bb2972c2 100644
--- a/x-pack/plugins/index_lifecycle_management/public/application/sections/edit_policy/components/data_tier_allocation/default_allocation_notice.tsx
+++ b/x-pack/plugins/index_lifecycle_management/public/application/sections/edit_policy/components/data_tier_allocation/default_allocation_notice.tsx
@@ -33,7 +33,8 @@ const i18nTexts = {
       ),
       body: (nodeRole: NodeDataRole) =>
         i18n.translate('xpack.indexLifecycleMgmt.warmPhase.dataTier.defaultAllocationNotice.warm', {
-          defaultMessage: 'Data in the warm phase will be allocated to {tier} tier nodes instead.',
+          defaultMessage:
+            'This policy will move data in the warm phase to {tier} tier nodes instead.',
           values: { tier: i18nTextsNodeRoleToDataTier[nodeRole] },
         }),
     },
@@ -44,7 +45,8 @@ const i18nTexts = {
       ),
       body: (nodeRole: NodeDataRole) =>
         i18n.translate('xpack.indexLifecycleMgmt.warmPhase.dataTier.defaultAllocationNotice.cold', {
-          defaultMessage: 'Data in the cold phase will be allocated to {tier} tier nodes instead.',
+          defaultMessage:
+            'This policy will move data in the cold phase to {tier} tier nodes instead.',
           values: { tier: i18nTextsNodeRoleToDataTier[nodeRole] },
         }),
     },
diff --git a/x-pack/plugins/index_lifecycle_management/public/application/sections/edit_policy/phases/cold_phase.tsx b/x-pack/plugins/index_lifecycle_management/public/application/sections/edit_policy/phases/cold_phase.tsx
index 1f687120c5c3a..b9b1b8b663ec8 100644
--- a/x-pack/plugins/index_lifecycle_management/public/application/sections/edit_policy/phases/cold_phase.tsx
+++ b/x-pack/plugins/index_lifecycle_management/public/application/sections/edit_policy/phases/cold_phase.tsx
@@ -192,8 +192,7 @@ export const ColdPhase: FunctionComponent<Props> = ({
                 <EuiTextColor color="subdued">
                   <FormattedMessage
                     id="xpack.indexLifecycleMgmt.editPolicy.coldPhase.freezeIndexExplanationText"
-                    defaultMessage="A frozen index has little overhead on the cluster and is blocked for write operations.
-                    You can search a frozen index, but expect queries to be slower."
+                    defaultMessage="Make the index read-only and minimize its memory footprint."
                   />{' '}
                   <LearnMoreLink docPath="frozen-indices.html" />
                 </EuiTextColor>