diff --git a/llvm/lib/Transforms/IPO/Attributor.cpp b/llvm/lib/Transforms/IPO/Attributor.cpp
--- a/llvm/lib/Transforms/IPO/Attributor.cpp
+++ b/llvm/lib/Transforms/IPO/Attributor.cpp
@@ -1907,7 +1907,11 @@
   /// See AbstractAttribute::initialize(...).
   void initialize(Attributor &A) override {
     AANoAliasImpl::initialize(A);
-    if (isa<AllocaInst>(getAnchorValue()))
+    Value &Val = getAssociatedValue();
+    if (isa<AllocaInst>(Val))
+      indicateOptimisticFixpoint();
+    if (isa<ConstantPointerNull>(Val) &&
+        Val.getType()->getPointerAddressSpace() == 0)
       indicateOptimisticFixpoint();
   }
 
@@ -1971,8 +1975,12 @@
     //             check only uses possibly executed before this callsite.
 
     auto &NoCaptureAA = A.getAAFor<AANoCapture>(*this, IRP);
-    if (!NoCaptureAA.isAssumedNoCaptureMaybeReturned())
+    if (!NoCaptureAA.isAssumedNoCaptureMaybeReturned()) {
+      LLVM_DEBUG(
+          dbgs() << "[Attributor][AANoAliasCSArg] " << V
+                 << " cannot be noalias as it is potentially captured\n");
       return indicatePessimisticFixpoint();
+    }
 
     // (iii) Check there is no other pointer argument which could alias with the
     // value.
@@ -1986,13 +1994,15 @@
 
       if (const Function *F = getAnchorScope()) {
         if (AAResults *AAR = A.getInfoCache().getAAResultsForFunction(*F)) {
+          bool IsAliasing = AAR->isNoAlias(&getAssociatedValue(), ArgOp);
           LLVM_DEBUG(dbgs()
                      << "[Attributor][NoAliasCSArg] Check alias between "
                         "callsite arguments "
                      << AAR->isNoAlias(&getAssociatedValue(), ArgOp) << " "
-                     << getAssociatedValue() << " " << *ArgOp << "\n");
+                     << getAssociatedValue() << " " << *ArgOp << " => "
+                     << (IsAliasing ? "" : "no-") << "alias \n");
 
-          if (AAR->isNoAlias(&getAssociatedValue(), ArgOp))
+          if (IsAliasing)
             continue;
         }
       }
@@ -2881,6 +2891,13 @@
   void initialize(Attributor &A) override {
     AANoCapture::initialize(A);
 
+    // You cannot "capture" null in the default address space.
+    if (isa<ConstantPointerNull>(getAssociatedValue()) &&
+        getAssociatedValue().getType()->getPointerAddressSpace() == 0) {
+      indicateOptimisticFixpoint();
+      return;
+    }
+
     const IRPosition &IRP = getIRPosition();
     const Function *F =
         getArgNo() >= 0 ? IRP.getAssociatedFunction() : IRP.getAnchorScope();
diff --git a/llvm/test/Transforms/FunctionAttrs/callbacks.ll b/llvm/test/Transforms/FunctionAttrs/callbacks.ll
--- a/llvm/test/Transforms/FunctionAttrs/callbacks.ll
+++ b/llvm/test/Transforms/FunctionAttrs/callbacks.ll
@@ -24,7 +24,7 @@
 ; CHECK-NEXT:    [[TMP0:%.*]] = bitcast i32* [[B]] to i8*
 ; CHECK-NEXT:    store i32 42, i32* [[B]], align 32
 ; CHECK-NEXT:    store i32* [[B]], i32** [[C]], align 64
-; CHECK-NEXT:    call void (i32*, i32*, void (i32*, i32*, ...)*, ...) @t0_callback_broker(i32* null, i32* nonnull align 128 dereferenceable(4) [[PTR]], void (i32*, i32*, ...)* nonnull bitcast (void (i32*, i32*, i32*, i64, i32**)* @t0_callback_callee to void (i32*, i32*, ...)*), i32* [[A:%.*]], i64 99, i32** nonnull align 64 dereferenceable(8) [[C]])
+; CHECK-NEXT:    call void (i32*, i32*, void (i32*, i32*, ...)*, ...) @t0_callback_broker(i32* noalias null, i32* nonnull align 128 dereferenceable(4) [[PTR]], void (i32*, i32*, ...)* nonnull bitcast (void (i32*, i32*, i32*, i64, i32**)* @t0_callback_callee to void (i32*, i32*, ...)*), i32* [[A:%.*]], i64 99, i32** nonnull align 64 dereferenceable(8) [[C]])
 ; CHECK-NEXT:    ret void
 ;
 entry:
diff --git a/llvm/test/Transforms/FunctionAttrs/nocapture.ll b/llvm/test/Transforms/FunctionAttrs/nocapture.ll
--- a/llvm/test/Transforms/FunctionAttrs/nocapture.ll
+++ b/llvm/test/Transforms/FunctionAttrs/nocapture.ll
@@ -320,5 +320,14 @@
   ret i1 %2
 }
 
+declare void @unknown(i8*)
+define void @test_callsite() {
+entry:
+; We know that 'null' in AS 0 does not alias anything and cannot be captured
+; CHECK: call void @unknown(i8* noalias nocapture null)
+  call void @unknown(i8* null)
+  ret void
+}
+
 declare i8* @llvm.launder.invariant.group.p0i8(i8*)
 declare i8* @llvm.strip.invariant.group.p0i8(i8*)