diff --git a/bfd/elf-bfd.h b/bfd/elf-bfd.h
index f24342cb029..accdd6d41a8 100644
--- a/bfd/elf-bfd.h
+++ b/bfd/elf-bfd.h
@@ -2927,6 +2927,8 @@ extern char *elfcore_write_xstatereg
   (bfd *, char *, int *, const void *, int);
 extern char *elfcore_write_x86_segbases
   (bfd *, char *, int *, const void *, int);
+extern char *elfcore_write_i386_tls
+  (bfd *, char *, int *, const void *, int);
 extern char *elfcore_write_ppc_vmx
   (bfd *, char *, int *, const void *, int);
 extern char *elfcore_write_ppc_vsx
diff --git a/bfd/elf.c b/bfd/elf.c
index 1b2e331eaa8..4f6bcde2365 100644
--- a/bfd/elf.c
+++ b/bfd/elf.c
@@ -49,6 +49,10 @@ SECTION
 #include CORE_HEADER
 #endif
 
+/* Name of a pseudo-section which represents NT_386_TLS notes within a core
+   file.  */
+#define PSEUDO_SECTION_NAME_I386_TLS ".reg-i386-tls"
+
 static int elf_sort_sections (const void *, const void *);
 static bool assign_file_positions_except_relocs (bfd *, struct bfd_link_info *);
 static bool swap_out_syms (bfd *, struct elf_strtab_hash **, int,
@@ -10673,6 +10677,13 @@ elfcore_grok_gdb_tdesc (bfd *abfd, Elf_Internal_Note *note)
   return elfcore_make_note_pseudosection (abfd, ".gdb-tdesc", note);
 }
 
+static bool
+elfcore_grok_i386_tls (bfd *abfd, Elf_Internal_Note *note)
+{
+  return elfcore_make_note_pseudosection (abfd, PSEUDO_SECTION_NAME_I386_TLS,
+					  note);
+}
+
 static bool
 elfcore_grok_loongarch_cpucfg (bfd *abfd, Elf_Internal_Note *note)
 {
@@ -11336,6 +11347,13 @@ elfcore_grok_note (bfd *abfd, Elf_Internal_Note *note)
       else
 	return true;
 
+    case NT_386_TLS:
+      if (note->namesz == 6
+	  && strcmp (note->namedata, "LINUX") == 0)
+	return elfcore_grok_i386_tls (abfd, note);
+      else
+	return true;
+
     case NT_ARM_HW_BREAK:
       if (note->namesz == 6
 	  && strcmp (note->namedata, "LINUX") == 0)
@@ -12593,6 +12611,14 @@ elfcore_write_x86_segbases (bfd *abfd, char *buf, int *bufsiz,
 			     note_name, NT_FREEBSD_X86_SEGBASES, regs, size);
 }
 
+char *
+elfcore_write_i386_tls (bfd *abfd, char *buf, int *bufsiz,
+			    const void *regs, int size)
+{
+  return elfcore_write_note (abfd, buf, bufsiz, "LINUX", NT_386_TLS,
+			     regs, size);
+}
+
 char *
 elfcore_write_ppc_vmx (bfd *abfd,
 		       char *buf,
@@ -13287,6 +13313,8 @@ elfcore_write_register_note (bfd *abfd,
     return elfcore_write_loongarch_lsx (abfd, buf, bufsiz, data, size);
   if (strcmp (section, ".reg-loongarch-lasx") == 0)
     return elfcore_write_loongarch_lasx (abfd, buf, bufsiz, data, size);
+  if (strcmp (section, PSEUDO_SECTION_NAME_I386_TLS) == 0)
+    return elfcore_write_i386_tls (abfd, buf, bufsiz, data, size);
   return NULL;
 }