Index: llvm/lib/Transforms/IPO/FunctionSpecialization.cpp
===================================================================
--- llvm/lib/Transforms/IPO/FunctionSpecialization.cpp
+++ llvm/lib/Transforms/IPO/FunctionSpecialization.cpp
@@ -64,6 +64,11 @@
                           cl::desc("Average loop iteration count cost"),
                           cl::init(10));
 
+static cl::opt<bool> SpecializeConstGlobals(
+    "function-specialization-const-globals", cl::init(true), cl::Hidden,
+    cl::desc("Enable function specialization for constant globals and function "
+             "pointers"));
+
 // Helper to check if \p LV is either overdefined or a constant int.
 static bool isOverdefined(const ValueLatticeElement &LV) {
   return !LV.isUnknownOrUndef() && !LV.isConstant();
@@ -485,8 +490,9 @@
         continue;
       }
 
-      // Add the constant to the set.
-      if (auto *C = dyn_cast<Constant>(CS.getArgOperand(A->getArgNo())))
+      // Add the constant global or function pointer to the set.
+      auto *C = dyn_cast<Constant>(CS.getArgOperand(A->getArgNo()));
+      if (C && SpecializeConstGlobals)
         Constants.push_back(C);
     }
 
Index: llvm/test/Transforms/FunctionSpecialization/function-specialization3.ll
===================================================================
--- llvm/test/Transforms/FunctionSpecialization/function-specialization3.ll
+++ llvm/test/Transforms/FunctionSpecialization/function-specialization3.ll
@@ -1,6 +1,8 @@
 ; RUN: opt -function-specialization -func-specialization-avg-iters-cost=3 -S < %s | \
 ; RUN:   FileCheck %s --check-prefixes=COMMON,DISABLED
-; RUN: opt -function-specialization -force-function-specialization -S < %s | \
+; RUN: opt -function-specialization -force-function-specialization -function-specialization-const-globals=0 -S < %s | \
+; RUN:   FileCheck %s --check-prefixes=COMMON,DISABLED
+; RUN: opt -function-specialization -force-function-specialization -function-specialization-const-globals=1 -S < %s | \
 ; RUN:   FileCheck %s --check-prefixes=COMMON,FORCE
 ; RUN: opt -function-specialization -func-specialization-avg-iters-cost=3 -force-function-specialization -S < %s | \
 ; RUN:   FileCheck %s --check-prefixes=COMMON,FORCE