diff --git a/tools/llvm-ld/Optimize.cpp b/tools/llvm-ld/Optimize.cpp
index c676809f771..5dc9424be90 100644
--- a/tools/llvm-ld/Optimize.cpp
+++ b/tools/llvm-ld/Optimize.cpp
@@ -163,6 +163,9 @@ void Optimize(Module* M) {
     // Cleanup and simplify the code after the scalar optimizations.
     addPass(Passes, createInstructionCombiningPass());
 
+    // Delete basic blocks, which optimization passes may have killed...
+    addPass(Passes, createCFGSimplificationPass());
+
     // Now that we have optimized the program, discard unreachable functions...
     addPass(Passes, createGlobalDCEPass());
   }