diff --git a/llvm/lib/Transforms/IPO/AttributorAttributes.cpp b/llvm/lib/Transforms/IPO/AttributorAttributes.cpp
--- a/llvm/lib/Transforms/IPO/AttributorAttributes.cpp
+++ b/llvm/lib/Transforms/IPO/AttributorAttributes.cpp
@@ -4670,6 +4670,30 @@
   AAValueSimplifyCallSiteArgument(const IRPosition &IRP, Attributor &A)
       : AAValueSimplifyFloating(IRP, A) {}
 
+  /// See AbstractAttribute::manifest(...).
+  ChangeStatus manifest(Attributor &A) override {
+    ChangeStatus Changed = ChangeStatus::UNCHANGED;
+
+    if (SimplifiedAssociatedValue.hasValue() &&
+        !SimplifiedAssociatedValue.getValue())
+      return Changed;
+
+    Value &V = getAssociatedValue();
+    auto *C = SimplifiedAssociatedValue.hasValue()
+                  ? dyn_cast<Constant>(SimplifiedAssociatedValue.getValue())
+                  : UndefValue::get(V.getType());
+    if (C) {
+      Use &U = cast<CallBase>(&getAnchorValue())->getArgOperandUse(getArgNo());
+      // We can replace the AssociatedValue with the constant.
+      if (&V != C && V.getType() == C->getType()) {
+        if (A.changeUseAfterManifest(U, *C))
+          Changed = ChangeStatus::CHANGED;
+      }
+    }
+
+    return Changed | AAValueSimplify::manifest(A);
+  }
+
   void trackStatistics() const override {
     STATS_DECLTRACK_CSARG_ATTR(value_simplify)
   }
diff --git a/llvm/test/Transforms/Attributor/range.ll b/llvm/test/Transforms/Attributor/range.ll
--- a/llvm/test/Transforms/Attributor/range.ll
+++ b/llvm/test/Transforms/Attributor/range.ll
@@ -1063,6 +1063,71 @@
 }
 
 
+define i32 @func(i1 %c) {
+; CHECK-LABEL: define {{[^@]+}}@func
+; CHECK-SAME: (i1 [[C:%.*]])
+; CHECK-NEXT:    [[RET:%.*]] = select i1 [[C]], i32 0, i32 1
+; CHECK-NEXT:    ret i32 [[RET]]
+;
+  %ret = select i1 %c, i32 0, i32 1
+  ret i32 %ret
+}
+
+define i32 @simplify_callsite_argument(i1 %d) {
+; IS__TUNIT_OPM-LABEL: define {{[^@]+}}@simplify_callsite_argument
+; IS__TUNIT_OPM-SAME: (i1 [[D:%.*]])
+; IS__TUNIT_OPM-NEXT:    [[C:%.*]] = select i1 [[D]], i1 true, i1 false
+; IS__TUNIT_OPM-NEXT:    br i1 [[C]], label [[T:%.*]], label [[F:%.*]]
+; IS__TUNIT_OPM:       t:
+; IS__TUNIT_OPM-NEXT:    [[RET1:%.*]] = call i32 @func(i1 [[C]]) #2, !range !3
+; IS__TUNIT_OPM-NEXT:    ret i32 [[RET1]]
+; IS__TUNIT_OPM:       f:
+; IS__TUNIT_OPM-NEXT:    [[RET2:%.*]] = call i32 @func(i1 false) #2, !range !3
+; IS__TUNIT_OPM-NEXT:    ret i32 [[RET2]]
+;
+; IS__TUNIT_NPM-LABEL: define {{[^@]+}}@simplify_callsite_argument
+; IS__TUNIT_NPM-SAME: (i1 [[D:%.*]])
+; IS__TUNIT_NPM-NEXT:    [[C:%.*]] = select i1 [[D]], i1 true, i1 false
+; IS__TUNIT_NPM-NEXT:    br i1 [[C]], label [[T:%.*]], label [[F:%.*]]
+; IS__TUNIT_NPM:       t:
+; IS__TUNIT_NPM-NEXT:    [[RET1:%.*]] = call i32 @func(i1 true) #1, !range !4
+; IS__TUNIT_NPM-NEXT:    ret i32 [[RET1]]
+; IS__TUNIT_NPM:       f:
+; IS__TUNIT_NPM-NEXT:    [[RET2:%.*]] = call i32 @func(i1 false) #1, !range !4
+; IS__TUNIT_NPM-NEXT:    ret i32 [[RET2]]
+;
+; IS__CGSCC_OPM-LABEL: define {{[^@]+}}@simplify_callsite_argument
+; IS__CGSCC_OPM-SAME: (i1 [[D:%.*]])
+; IS__CGSCC_OPM-NEXT:    [[C:%.*]] = select i1 [[D]], i1 true, i1 false
+; IS__CGSCC_OPM-NEXT:    br i1 [[C]], label [[T:%.*]], label [[F:%.*]]
+; IS__CGSCC_OPM:       t:
+; IS__CGSCC_OPM-NEXT:    [[RET1:%.*]] = call i32 @func(i1 [[C]])
+; IS__CGSCC_OPM-NEXT:    ret i32 [[RET1]]
+; IS__CGSCC_OPM:       f:
+; IS__CGSCC_OPM-NEXT:    [[RET2:%.*]] = call i32 @func(i1 false)
+; IS__CGSCC_OPM-NEXT:    ret i32 [[RET2]]
+;
+; IS__CGSCC_NPM-LABEL: define {{[^@]+}}@simplify_callsite_argument
+; IS__CGSCC_NPM-SAME: (i1 [[D:%.*]])
+; IS__CGSCC_NPM-NEXT:    [[C:%.*]] = select i1 [[D]], i1 true, i1 false
+; IS__CGSCC_NPM-NEXT:    br i1 [[C]], label [[T:%.*]], label [[F:%.*]]
+; IS__CGSCC_NPM:       t:
+; IS__CGSCC_NPM-NEXT:    [[RET1:%.*]] = call i32 @func(i1 true)
+; IS__CGSCC_NPM-NEXT:    ret i32 [[RET1]]
+; IS__CGSCC_NPM:       f:
+; IS__CGSCC_NPM-NEXT:    [[RET2:%.*]] = call i32 @func(i1 false)
+; IS__CGSCC_NPM-NEXT:    ret i32 [[RET2]]
+;
+  %c = select i1 %d, i1 true, i1 false
+  br i1 %c, label %t, label %f
+t:
+  %ret1 = call i32 @func(i1 %c)
+  ret i32 %ret1
+f:
+  %ret2 = call i32 @func(i1 false)
+  ret i32 %ret2
+}
+
 !0 = !{i32 0, i32 10}
 !1 = !{i32 10, i32 100}