diff --git a/src/libraries/Common/tests/System/Security/Cryptography/AlgorithmImplementations/AES/AesContractTests.cs b/src/libraries/Common/tests/System/Security/Cryptography/AlgorithmImplementations/AES/AesContractTests.cs
index 1b4f603224835..682a2d673c34e 100644
--- a/src/libraries/Common/tests/System/Security/Cryptography/AlgorithmImplementations/AES/AesContractTests.cs
+++ b/src/libraries/Common/tests/System/Security/Cryptography/AlgorithmImplementations/AES/AesContractTests.cs
@@ -2,6 +2,7 @@
 // The .NET Foundation licenses this file to you under the MIT license.
 
 using Test.Cryptography;
+using Microsoft.DotNet.XUnitExtensions;
 using Xunit;
 
 namespace System.Security.Cryptography.Encryption.Aes.Tests
@@ -161,7 +162,7 @@ public static void ValidCFBFeedbackSizes(int feedbackSize)
             }
         }
 
-        [Theory]
+        [ConditionalTheory]
         [InlineData(64, false)]        // smaller than default BlockSize
         [InlineData(129, false)]       // larger than default BlockSize
         // Skip on .NET Framework because change is not ported https://github.com/dotnet/runtime/issues/21236
@@ -171,6 +172,9 @@ public static void InvalidIVSizes(int invalidIvSize, bool skipOnNetfx)
             if (skipOnNetfx && PlatformDetection.IsNetFramework)
                 return;
 
+            if (PlatformDetection.IstvOS && invalidIvSize == 536870928)
+                throw new SkipTestException($"https://github.com/dotnet/runtime/issues/76728 This test case flakily crashes tvOS arm64");
+
             using (Aes aes = AesFactory.Create())
             {
                 aes.GenerateKey();