diff --git a/tests/BenchmarkDotNet.IntegrationTests/MemoryDiagnoserTests.cs b/tests/BenchmarkDotNet.IntegrationTests/MemoryDiagnoserTests.cs
index cf573f9985..0e4a664e06 100755
--- a/tests/BenchmarkDotNet.IntegrationTests/MemoryDiagnoserTests.cs
+++ b/tests/BenchmarkDotNet.IntegrationTests/MemoryDiagnoserTests.cs
@@ -233,7 +233,9 @@ public byte[] SixtyFourBytesArray()
             }
         }
 
-        [TheoryEnvSpecific("Full Framework cannot measure precisely enough for low invocation counts.", EnvRequirement.DotNetCoreOnly), MemberData(nameof(GetToolchains))]
+        [TheoryEnvSpecific("Full Framework cannot measure precisely enough for low invocation counts.", EnvRequirement.DotNetCoreOnly), MemberData(nameof(GetToolchains),
+            Skip = "Some random background allocations are occurring that we haven't been able to figure out, causing this test in particular to be flaky." +
+            " Other tests likely also suffer from it, but their high invocation counts successfully drown it out. #2562")]
         [Trait(Constants.Category, Constants.BackwardCompatibilityCategory)]
         public void AllocationQuantumIsNotAnIssueForNetCore21Plus(IToolchain toolchain)
         {