diff --git a/sdk/core/Azure.Core/CHANGELOG.md b/sdk/core/Azure.Core/CHANGELOG.md
index cead36ec0579..6b6944a6716a 100644
--- a/sdk/core/Azure.Core/CHANGELOG.md
+++ b/sdk/core/Azure.Core/CHANGELOG.md
@@ -10,6 +10,7 @@
 
 ### Fixed
 
+- Fixed `NotSupportedException` when running in Unity.
 
 ## 1.16.0 (2021-06-30)
 
diff --git a/sdk/core/Azure.Core/src/Pipeline/ServicePointHelpers.cs b/sdk/core/Azure.Core/src/Pipeline/ServicePointHelpers.cs
index 7b062ab698ac..5cb0215f81db 100644
--- a/sdk/core/Azure.Core/src/Pipeline/ServicePointHelpers.cs
+++ b/sdk/core/Azure.Core/src/Pipeline/ServicePointHelpers.cs
@@ -57,15 +57,17 @@ public static void SetLimits(HttpMessageHandler messageHandler)
                 return;
             }
 
-            switch (messageHandler)
+            try
             {
-                case HttpClientHandler httpClientHandler:
-                    // Only change when the default runtime limit is used
-                    if (httpClientHandler.MaxConnectionsPerServer == RuntimeDefaultConnectionLimit)
-                    {
-                        httpClientHandler.MaxConnectionsPerServer = IncreasedConnectionLimit;
-                    }
-                    break;
+                switch (messageHandler)
+                {
+                    case HttpClientHandler httpClientHandler:
+                        // Only change when the default runtime limit is used
+                        if (httpClientHandler.MaxConnectionsPerServer == RuntimeDefaultConnectionLimit)
+                        {
+                            httpClientHandler.MaxConnectionsPerServer = IncreasedConnectionLimit;
+                        }
+                        break;
 #if NETCOREAPP
                 case SocketsHttpHandler socketsHttpHandler:
                     if (socketsHttpHandler.MaxConnectionsPerServer == RuntimeDefaultConnectionLimit)
@@ -78,9 +80,15 @@ public static void SetLimits(HttpMessageHandler messageHandler)
                     }
                     break;
 #endif
-                default:
-                    Debug.Assert(false, "Unknown handler type");
-                    break;
+                    default:
+                        Debug.Assert(false, "Unknown handler type");
+                        break;
+                }
+            }
+            catch (NotSupportedException)
+            {
+                // Some platforms might throw NotSupportedException
+                // when accessing handler options
             }
         }
     }