diff --git a/ChangeLog b/ChangeLog
index 3d38021a9f18a35bbdda57764b0286565ce70d14..60c9fd0ed65049acf4606dc35e5d4f42a3c1cd1d 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -4,6 +4,7 @@
 	* src/nano.c (main): Check position history only when 'positionlog'
 	is set.  This fixes a bug unconsciously reported by Mike Frysinger.
 	* src/files.c (do_lockfile): Plug a couple of memory leaks.
+	* src/files.c (update_poshistory): Plug another memory leak.
 
 2016-01-26  Benno Schulenberg  <bensberg@justemail.net>
 	* src/files.c (update_poshistory): Do not add directories to the
diff --git a/src/files.c b/src/files.c
index 6df25ba00aa747b64c85f5826fbf9a9fa3aafcc4..c6b2339408dee11432898b8c3c3e8019f08be9da 100644
--- a/src/files.c
+++ b/src/files.c
@@ -3205,8 +3205,10 @@ void update_poshistory(char *filename, ssize_t lineno, ssize_t xpos)
     poshiststruct *posptr, *theone, *posprev = NULL;
     char *fullpath = get_full_path(filename);
 
-    if (fullpath == NULL || fullpath[strlen(fullpath) - 1] == '/')
+    if (fullpath == NULL || fullpath[strlen(fullpath) - 1] == '/') {
+	free(fullpath);
 	return;
+    }
 
     /* Look for a matching filename in the list. */
     for (posptr = position_history; posptr != NULL; posptr = posptr->next) {