diff --git a/gdbserver/ChangeLog b/gdbserver/ChangeLog
index def4049cee5..e98c43913fd 100644
--- a/gdbserver/ChangeLog
+++ b/gdbserver/ChangeLog
@@ -1,3 +1,7 @@
+2021-02-12  Tom Tromey  <tromey@adacore.com>
+
+	* gdbreplay.cc (remote_open): Constify.
+
 2021-02-05  Paul E. Murphy  <murphyp@linux.ibm.com>
 
 	* Makefile.in (UNDO_GNULIB_CFLAGS): Disable
diff --git a/gdbserver/gdbreplay.cc b/gdbserver/gdbreplay.cc
index 438a6a60bdb..1a53b9880c0 100644
--- a/gdbserver/gdbreplay.cc
+++ b/gdbserver/gdbreplay.cc
@@ -151,9 +151,9 @@ remote_close (void)
    NAME is the filename used for communication.  */
 
 static void
-remote_open (char *name)
+remote_open (const char *name)
 {
-  char *last_colon = strrchr (name, ':');
+  const char *last_colon = strrchr (name, ':');
 
   if (last_colon == NULL)
     {