diff --git a/sdk/eventhub/Azure.Messaging.EventHubs.Processor/src/EventProcessorClient.cs b/sdk/eventhub/Azure.Messaging.EventHubs.Processor/src/EventProcessorClient.cs
index 3ad9d1f90e2b..470b2bf4403c 100644
--- a/sdk/eventhub/Azure.Messaging.EventHubs.Processor/src/EventProcessorClient.cs
+++ b/sdk/eventhub/Azure.Messaging.EventHubs.Processor/src/EventProcessorClient.cs
@@ -418,7 +418,7 @@ public EventProcessorClient(BlobContainerClient checkpointStore,
         ///
         /// <remarks>
         ///   The container associated with the <paramref name="checkpointStore" /> is expected to exist; the <see cref="EventProcessorClient" />
-        ///   does not assume the ability to manage the storage account and is safe to run without permission to manage the storage account.
+        ///   does not assume the ability to manage the storage account and is safe to run with only read/write permission for blobs in the container.
         /// </remarks>
         ///
         public EventProcessorClient(BlobContainerClient checkpointStore,
@@ -445,7 +445,7 @@ public EventProcessorClient(BlobContainerClient checkpointStore,
         ///
         /// <remarks>
         ///   The container associated with the <paramref name="checkpointStore" /> is expected to exist; the <see cref="EventProcessorClient" />
-        ///   does not assume the ability to manage the storage account and is safe to run without permission to manage the storage account.
+        ///   does not assume the ability to manage the storage account and is safe to run with only read/write permission for blobs in the container.
         /// </remarks>
         ///
         public EventProcessorClient(BlobContainerClient checkpointStore,
diff --git a/sdk/eventhub/Azure.Messaging.EventHubs/src/EventHubConnection.cs b/sdk/eventhub/Azure.Messaging.EventHubs/src/EventHubConnection.cs
index 32d3490e9184..32011b64db13 100644
--- a/sdk/eventhub/Azure.Messaging.EventHubs/src/EventHubConnection.cs
+++ b/sdk/eventhub/Azure.Messaging.EventHubs/src/EventHubConnection.cs
@@ -509,7 +509,7 @@ internal static string BuildConnectionAudience(EventHubsTransportType transportT
         /// <param name="eventHubName">The name of the Event Hub being connected to.</param>
         /// <param name="transportType">The type of transport being used for the connection.</param>
         ///
-        /// <returns>The <see cref="SharedAccessSignatureCredential" /> which the <paramref name="credential" /> was translated into.</returns>
+        /// <returns>The <see cref="SharedAccessSignatureCredential" /> which the <paramref name="credential" /> was translated into, if the parameters were populated; otherwise, <c>null</c>.</returns>
         ///
         internal static SharedAccessSignatureCredential TranslateSharedKeyCredential(EventHubsSharedAccessKeyCredential credential,
                                                                                      string fullyQualifiedNamespace,