diff --git a/llvm/include/llvm/DWARFLinker/DWARFLinker.h b/llvm/include/llvm/DWARFLinker/DWARFLinker.h
index eaf0bbb94e34a..8f1d2d079c16b 100644
--- a/llvm/include/llvm/DWARFLinker/DWARFLinker.h
+++ b/llvm/include/llvm/DWARFLinker/DWARFLinker.h
@@ -361,6 +361,9 @@ class DWARFLinker {
   void addAccelTableKind(AccelTableKind Kind) {
     assert(!llvm::is_contained(Options.AccelTables, Kind));
     Options.AccelTables.emplace_back(Kind);
+
+    if (Kind == AccelTableKind::Apple)
+      Options.CanStripTemplateName = true;
   }
 
   /// Set prepend path for clang modules.
@@ -882,6 +885,7 @@ class DWARFLinker {
 
     /// The accelerator table kinds
     SmallVector<AccelTableKind, 1> AccelTables;
+    bool CanStripTemplateName = false;
 
     /// Prepend path for the clang modules.
     std::string PrependPath;
diff --git a/llvm/lib/DWARFLinker/DWARFLinker.cpp b/llvm/lib/DWARFLinker/DWARFLinker.cpp
index 349be17301aea..206ba9d409904 100644
--- a/llvm/lib/DWARFLinker/DWARFLinker.cpp
+++ b/llvm/lib/DWARFLinker/DWARFLinker.cpp
@@ -192,7 +192,8 @@ bool DWARFLinker::DIECloner::getDIENames(const DWARFDie &Die,
   if (!Info.MangledName)
     Info.MangledName = Info.Name;
 
-  if (StripTemplate && Info.Name && Info.MangledName != Info.Name) {
+  if (StripTemplate && Linker.Options.CanStripTemplateName && Info.Name &&
+      Info.MangledName != Info.Name) {
     StringRef Name = Info.Name.getString();
     if (std::optional<StringRef> StrippedName = StripTemplateParameters(Name))
       Info.NameWithoutTemplate = StringPool.getEntry(*StrippedName);
diff --git a/llvm/test/tools/dsymutil/X86/Inputs/dwarf5-accel.o b/llvm/test/tools/dsymutil/X86/Inputs/dwarf5-accel.o
new file mode 100644
index 0000000000000..1620b85a7fd83
Binary files /dev/null and b/llvm/test/tools/dsymutil/X86/Inputs/dwarf5-accel.o differ
diff --git a/llvm/test/tools/dsymutil/X86/dwarf5-accel.test b/llvm/test/tools/dsymutil/X86/dwarf5-accel.test
new file mode 100644
index 0000000000000..621fd80e623a6
--- /dev/null
+++ b/llvm/test/tools/dsymutil/X86/dwarf5-accel.test
@@ -0,0 +1,34 @@
+## This test checks that DIE name with stripped template parameters
+## is not stored into .debug_name section.
+
+## cat dwarf5-accel.cpp
+##
+## template<typename A> void foo() {};
+##
+## int main ( void ) {
+##   foo<char>();
+##   return 0;
+## }
+
+## $ clang -gdwarf-5 dwarf5-accel.cpp -c -o dwarf5-accel.o
+
+#RUN: dsymutil -accelerator=Dwarf -oso-prepend-path %p/Inputs -y %s -o %t.dSYM
+#RUN: llvm-dwarfdump --verify  %t.dSYM | FileCheck %s --check-prefix VERIFY
+#RUN: llvm-dwarfdump -a --verbose  %t.dSYM | FileCheck %s
+
+#VERIFY: No errors.
+
+#CHECK: .debug_names
+#CHECK-NOT: "foo"
+#CHECK: _Z3fooIcEvv
+#CHECK-NOT: "foo"
+#CHECK: "foo<char>"
+
+---
+triple:          'x86_64-apple-darwin'
+objects:
+  - filename:        'dwarf5-accel.o'
+    timestamp:       1676048242
+    symbols:
+      - { sym: _main, objAddr: 0x0000000000000000, binAddr: 0x0000000100000AB0, size: 0x00000008 }
+      - { sym: __Z3fooIcEvv, objAddr: 0x0000000000000020, binAddr: 0x0000000100000BB0, size: 0x00000008 }