diff --git a/x-pack/plugins/infra/server/lib/log_analysis/errors.ts b/x-pack/plugins/infra/server/lib/log_analysis/errors.ts
index a6d0db25084e..ad46ebf71026 100644
--- a/x-pack/plugins/infra/server/lib/log_analysis/errors.ts
+++ b/x-pack/plugins/infra/server/lib/log_analysis/errors.ts
@@ -6,6 +6,12 @@
 
 /* eslint-disable max-classes-per-file */
 
+import {
+  UnknownMLCapabilitiesError,
+  InsufficientMLCapabilities,
+  MLPrivilegesUninitialized,
+} from '../../../../ml/server';
+
 export class NoLogAnalysisMlJobError extends Error {
   constructor(message?: string) {
     super(message);
@@ -33,3 +39,11 @@ export class InsufficientAnomalyMlJobsConfigured extends Error {
     Object.setPrototypeOf(this, new.target.prototype);
   }
 }
+
+export const isMlPrivilegesError = (error: any) => {
+  return (
+    error instanceof UnknownMLCapabilitiesError ||
+    error instanceof InsufficientMLCapabilities ||
+    error instanceof MLPrivilegesUninitialized
+  );
+};
diff --git a/x-pack/plugins/infra/server/lib/log_analysis/log_entry_anomalies.ts b/x-pack/plugins/infra/server/lib/log_analysis/log_entry_anomalies.ts
index 950de4261bda..8fc8e588f312 100644
--- a/x-pack/plugins/infra/server/lib/log_analysis/log_entry_anomalies.ts
+++ b/x-pack/plugins/infra/server/lib/log_analysis/log_entry_anomalies.ts
@@ -25,6 +25,7 @@ import {
   InsufficientAnomalyMlJobsConfigured,
   InsufficientLogAnalysisMlJobConfigurationError,
   UnknownCategoryError,
+  isMlPrivilegesError,
 } from './errors';
 import { decodeOrThrow } from '../../../common/runtime_types';
 import {
@@ -65,7 +66,10 @@ async function getCompatibleAnomaliesJobIds(
     jobIds.push(logRateJobId);
     jobSpans = [...jobSpans, ...spans];
   } catch (e) {
-    // Job wasn't found
+    if (isMlPrivilegesError(e)) {
+      throw e;
+    }
+    // An error is also thrown when no jobs are found
   }
 
   try {
@@ -75,7 +79,10 @@ async function getCompatibleAnomaliesJobIds(
     jobIds.push(logCategoriesJobId);
     jobSpans = [...jobSpans, ...spans];
   } catch (e) {
-    // Job wasn't found
+    if (isMlPrivilegesError(e)) {
+      throw e;
+    }
+    // An error is also thrown when no jobs are found
   }
 
   return {
diff --git a/x-pack/plugins/infra/server/routes/log_analysis/results/log_entry_anomalies_datasets.ts b/x-pack/plugins/infra/server/routes/log_analysis/results/log_entry_anomalies_datasets.ts
index f1f1a1681a90..8b36f32f318a 100644
--- a/x-pack/plugins/infra/server/routes/log_analysis/results/log_entry_anomalies_datasets.ts
+++ b/x-pack/plugins/infra/server/routes/log_analysis/results/log_entry_anomalies_datasets.ts
@@ -14,6 +14,7 @@ import { createValidationFunction } from '../../../../common/runtime_types';
 import type { InfraBackendLibs } from '../../../lib/infra_types';
 import { getLogEntryAnomaliesDatasets } from '../../../lib/log_analysis';
 import { assertHasInfraMlPlugins } from '../../../utils/request_context';
+import { isMlPrivilegesError } from '../../../lib/log_analysis/errors';
 
 export const initGetLogEntryAnomaliesDatasetsRoute = ({ framework }: InfraBackendLibs) => {
   framework.registerRoute(
@@ -55,6 +56,15 @@ export const initGetLogEntryAnomaliesDatasetsRoute = ({ framework }: InfraBacken
           throw error;
         }
 
+        if (isMlPrivilegesError(error)) {
+          return response.customError({
+            statusCode: 403,
+            body: {
+              message: error.message,
+            },
+          });
+        }
+
         return response.customError({
           statusCode: error.statusCode ?? 500,
           body: {