diff --git a/src/tools/illink/src/linker/Linker.Steps/MarkStep.cs b/src/tools/illink/src/linker/Linker.Steps/MarkStep.cs
index 2e41771ee39634..ef88f6d4d007c4 100644
--- a/src/tools/illink/src/linker/Linker.Steps/MarkStep.cs
+++ b/src/tools/illink/src/linker/Linker.Steps/MarkStep.cs
@@ -417,8 +417,8 @@ bool ProcessPrimaryQueue ()
 
 			while (!QueueIsEmpty ()) {
 				ProcessQueue ();
-				ProcessInterfaceMethods ();
 				ProcessMarkedTypesWithInterfaces ();
+				ProcessInterfaceMethods ();
 				ProcessDynamicCastableImplementationInterfaces ();
 				ProcessPendingBodies ();
 				DoAdditionalProcessing ();
diff --git a/src/tools/illink/test/Mono.Linker.Tests.Cases/Attributes/OnlyKeepUsed/MethodWithUnmanagedConstraint.cs b/src/tools/illink/test/Mono.Linker.Tests.Cases/Attributes/OnlyKeepUsed/MethodWithUnmanagedConstraint.cs
index 6b58c1dbf0de9c..1a97ef3fa1e972 100644
--- a/src/tools/illink/test/Mono.Linker.Tests.Cases/Attributes/OnlyKeepUsed/MethodWithUnmanagedConstraint.cs
+++ b/src/tools/illink/test/Mono.Linker.Tests.Cases/Attributes/OnlyKeepUsed/MethodWithUnmanagedConstraint.cs
@@ -6,6 +6,11 @@ namespace Mono.Linker.Tests.Cases.Attributes.OnlyKeepUsed
 {
 	[SetupCSharpCompilerToUse ("csc")]
 	[SetupLinkerArgument ("--used-attrs-only", "true")]
+
+	// Necessary to allow trimming the attribute instance from types in CoreLib.
+	[SetupLinkerTrimMode ("link")]
+	// When we allow trimming CoreLib, some well-known types expected by ILVerify are removed.
+	[SkipILVerify]
 	public class MethodWithUnmanagedConstraint
 	{
 		public static void Main ()