diff --git a/csu/Versions b/csu/Versions
index bd82a96149..a1321a9df8 100644
--- a/csu/Versions
+++ b/csu/Versions
@@ -21,10 +21,6 @@ libc {
 %if USE_TLS && HAVE___THREAD
     # This version is for the TLS symbol, GLIBC_2.0 is the old object symbol.
     errno;
-%else
-    # This internal alias is solely to give libpthread access
-    # to the variable that is not directly user-visible at link time.
-    __libc_errno;
 %endif
   }
 }
diff --git a/inet/herrno.c b/inet/herrno.c
index f0ee81b804..b85d75be53 100644
--- a/inet/herrno.c
+++ b/inet/herrno.c
@@ -34,9 +34,6 @@ extern __thread int __libc_h_errno __attribute__ ((alias ("h_errno")))
 int h_errno = 0;
 weak_alias (h_errno, _h_errno)
 
-/* This alias is needed by libpthread.  */
-strong_alias (h_errno, __libc_h_errno)
-
 /* We declare these with compat_symbol so that they are not
    visible at link time.  Programs must use the accessor functions.  */
 # if defined HAVE_ELF && defined SHARED && defined DO_VERSIONING
diff --git a/resolv/Versions b/resolv/Versions
index 238d579d8c..2449a41cea 100644
--- a/resolv/Versions
+++ b/resolv/Versions
@@ -35,10 +35,6 @@ libc {
 %if USE_TLS && HAVE___THREAD
     # This version is for the TLS symbol, GLIBC_2.0 is the old object symbol.
     h_errno; _res;
-%else
-    # These internal aliases are solely to give libpthread access
-    # to the variables that are not directly user-visible.
-    __libc_h_errno; __libc_res;
 %endif
   }
 }
diff --git a/resolv/res_libc.c b/resolv/res_libc.c
index b1132b0ffd..7c4fd7a119 100644
--- a/resolv/res_libc.c
+++ b/resolv/res_libc.c
@@ -24,22 +24,15 @@
 
 #include <tls.h>
 
-#if USE_TLS && HAVE___THREAD
+#if USE___THREAD
 /* With __thread support, this per-thread variable is used in all cases.  */
 __thread struct __res_state _res;
 extern __thread struct __res_state __libc_res __attribute__ ((alias ("_res")))
   attribute_hidden;
 # define _res __libc_res
 #else
-/* The resolver state for use by single-threaded programs.
-
-   This differs from a plain uninitialized definition in that it doesn't
-   create a common definition, but a plain symbol that resides in .bss,
-   which can have an alias.  */
-struct __res_state _res __attribute__ ((section (".bss")));
-
-/* This alias is needed by libpthread.  */
-strong_alias (_res, __libc_res)
+/* The resolver state for use by single-threaded programs.  */
+struct __res_state _res;
 
 /* We declare this with compat_symbol so that it's not
    visible at link time.  Programs must use the accessor functions.  */
@@ -52,7 +45,9 @@ compat_symbol (libc, _res, _res, GLIBC_2_0);
 /* This function is used to access the resolver state in
    single-threaded programs.  */
 struct __res_state *
+#if ! USE___THREAD
 weak_const_function
+#endif
 __res_state (void)
 {
   return &_res;
diff --git a/sysdeps/generic/errno.c b/sysdeps/generic/errno.c
index 45c9639095..1c0561c2d7 100644
--- a/sysdeps/generic/errno.c
+++ b/sysdeps/generic/errno.c
@@ -32,9 +32,6 @@ extern __thread int __libc_errno __attribute__ ((alias ("errno")))
 int errno __attribute__ ((section (".bss")));
 strong_alias (errno, _errno)
 
-/* This alias is needed by libpthread.  */
-strong_alias (errno, __libc_errno)
-
 /* We declare these with compat_symbol so that they are not
    visible at link time.  Programs must use the accessor functions.  */
 # if defined HAVE_ELF && defined SHARED && defined DO_VERSIONING