diff --git a/src/Compilers/CSharp/Portable/Binder/Semantics/OverloadResolution/OverloadResolution.cs b/src/Compilers/CSharp/Portable/Binder/Semantics/OverloadResolution/OverloadResolution.cs
index 13a8b4caa586..a573c7e32787 100644
--- a/src/Compilers/CSharp/Portable/Binder/Semantics/OverloadResolution/OverloadResolution.cs
+++ b/src/Compilers/CSharp/Portable/Binder/Semantics/OverloadResolution/OverloadResolution.cs
@@ -292,7 +292,7 @@ private void PerformMemberOverloadResolution<TMember>(
             if (isFunctionPointerResolution)
             {
                 RemoveCallingConventionMismatches(results, callingConvention);
-                RemoveStaticInstanceMismatches(results, requireStatic: true);
+                RemoveMethodsNotDeclaredStatic(results);
             }
 
             // NB: As in dev12, we do this AFTER removing less derived members.
@@ -387,6 +387,22 @@ private static void RemoveStaticInstanceMismatches<TMember>(ArrayBuilder<MemberR
             }
         }
 
+        private static void RemoveMethodsNotDeclaredStatic<TMember>(ArrayBuilder<MemberResolutionResult<TMember>> results) where TMember : Symbol
+        {
+            // RemoveStaticInstanceMistmatches allows methods that do not need a reciever but are not declared static,
+            // such as a local function that is not declared static. This eliminates methods that are not actually
+            // declared as static
+            for (int f = 0; f < results.Count; f++)
+            {
+                var result = results[f];
+                TMember member = result.Member;
+                if (result.Result.IsValid && !member.IsStatic)
+                {
+                    results[f] = new MemberResolutionResult<TMember>(member, result.LeastOverriddenMember, MemberAnalysisResult.StaticInstanceMismatch());
+                }
+            }
+        }
+
         private void RemoveConstraintViolations<TMember>(ArrayBuilder<MemberResolutionResult<TMember>> results) where TMember : Symbol
         {
             // When the feature 'ImprovedOverloadCandidates' is enabled, we do not include methods for which the type arguments
diff --git a/src/Compilers/CSharp/Portable/Lowering/ClosureConversion/ClosureConversion.cs b/src/Compilers/CSharp/Portable/Lowering/ClosureConversion/ClosureConversion.cs
index 9faf91fc9887..b48deb8669ca 100644
--- a/src/Compilers/CSharp/Portable/Lowering/ClosureConversion/ClosureConversion.cs
+++ b/src/Compilers/CSharp/Portable/Lowering/ClosureConversion/ClosureConversion.cs
@@ -1303,6 +1303,30 @@ public override BoundNode VisitDelegateCreationExpression(BoundDelegateCreationE
             return base.VisitDelegateCreationExpression(node);
         }
 
+        public override BoundNode VisitFunctionPointerLoad(BoundFunctionPointerLoad node)
+        {
+            if (node.TargetMethod.MethodKind == MethodKind.LocalFunction)
+            {
+                Debug.Assert(node.TargetMethod is { RequiresInstanceReceiver: false, IsStatic: true });
+                ImmutableArray<BoundExpression> arguments = default;
+                ImmutableArray<RefKind> argRefKinds = default;
+
+                RemapLocalFunction(
+                    node.Syntax,
+                    node.TargetMethod,
+                    out var receiver,
+                    out var remappedMethod,
+                    ref arguments,
+                    ref argRefKinds);
+
+                Debug.Assert(arguments.IsDefault && argRefKinds.IsDefault && receiver.Kind == BoundKind.TypeExpression);
+
+                return node.Update(remappedMethod, node.Type);
+            }
+
+            return base.VisitFunctionPointerLoad(node);
+        }
+
         public override BoundNode VisitConversion(BoundConversion conversion)
         {
             // a conversion with a method should have been rewritten, e.g. to an invocation
diff --git a/src/Compilers/CSharp/Test/Emit/CodeGen/CodeGenFunctionPointersTests.cs b/src/Compilers/CSharp/Test/Emit/CodeGen/CodeGenFunctionPointersTests.cs
index 88a2dc60e21e..8be389ca89d7 100644
--- a/src/Compilers/CSharp/Test/Emit/CodeGen/CodeGenFunctionPointersTests.cs
+++ b/src/Compilers/CSharp/Test/Emit/CodeGen/CodeGenFunctionPointersTests.cs
@@ -7101,6 +7101,62 @@ .locals init (delegate*<System.Span<char>, System.Span<char>> V_0)
 ");
         }
 
+        [Fact, WorkItem(45447, "https://github.com/dotnet/roslyn/issues/45447")]
+        public void LocalFunction_ValidStatic()
+        {
+            var verifier = CompileAndVerifyFunctionPointers(@"
+unsafe class FunctionPointer
+{
+    public static void Main()
+    {
+        delegate*<void> a = &local;
+        a();
+
+        static void local() => System.Console.Write(""local"");
+    }
+}
+", expectedOutput: "local");
+
+
+            verifier.VerifyIL("FunctionPointer.Main", @"
+{
+  // Code size       12 (0xc)
+  .maxstack  1
+  IL_0000:  ldftn      ""void FunctionPointer.<Main>g__local|0_0()""
+  IL_0006:  calli      ""delegate*<void>""
+  IL_000b:  ret
+}
+");
+        }
+
+        [Fact, WorkItem(45447, "https://github.com/dotnet/roslyn/issues/45447")]
+        public void LocalFunction_InvalidNonStatic()
+        {
+            var comp = CreateCompilationWithFunctionPointers(@"
+unsafe class FunctionPointer
+{
+    public static void M()
+    {
+        int local = 1;
+
+        delegate*<void> first = &noCaptures;
+        delegate*<void> second = &capturesLocal;
+
+        void noCaptures() { }
+        void capturesLocal() { local++; }
+    }
+}");
+
+            comp.VerifyDiagnostics(
+                // (8,34): error CS8759: Cannot create a function pointer for 'noCaptures()' because it is not a static method
+                //         delegate*<void> first = &noCaptures;
+                Diagnostic(ErrorCode.ERR_FuncPtrMethMustBeStatic, "noCaptures").WithArguments("noCaptures()").WithLocation(8, 34),
+                // (9,35): error CS8759: Cannot create a function pointer for 'capturesLocal()' because it is not a static method
+                //         delegate*<void> second = &capturesLocal;
+                Diagnostic(ErrorCode.ERR_FuncPtrMethMustBeStatic, "capturesLocal").WithArguments("capturesLocal()").WithLocation(9, 35)
+            );
+        }
+
         private static readonly Guid s_guid = new Guid("97F4DBD4-F6D1-4FAD-91B3-1001F92068E5");
         private static readonly BlobContentId s_contentId = new BlobContentId(s_guid, 0x04030201);