diff --git a/gdb/testsuite/gdb.threads/step-over-lands-on-breakpoint.c b/gdb/testsuite/gdb.threads/step-over-lands-on-breakpoint.c
index 0a6ed8f..2480164 100644
--- a/gdb/testsuite/gdb.threads/step-over-lands-on-breakpoint.c
+++ b/gdb/testsuite/gdb.threads/step-over-lands-on-breakpoint.c
@@ -41,23 +41,26 @@ child_function (void *arg)
   pthread_exit (NULL);
 }
 
-static int
-wait_threads (void)
-{
-  return 1; /* in wait_threads */
-}
-
 int
 main ()
 {
   int res;
   long i;
 
+  alarm (300);
+
   pthread_barrier_init (&barrier, NULL, 2);
 
   res = pthread_create (&child_thread, NULL, child_function, NULL);
   pthread_barrier_wait (&barrier);
-  wait_threads (); /* set wait-thread breakpoint here */
+
+  /* Use an infinite loop with no function calls so that "step" over
+     this line never finishes before the breakpoint in the other
+     thread triggers.  That can happen if the step-over of thread 2 is
+     done with displaced stepping on a target that is always in
+     non-stop mode, as in that case GDB runs both threads
+     simultaneously.  */
+  while (1); /* set wait-thread breakpoint here */
 
   pthread_join (child_thread, NULL);
 
diff --git a/gdb/testsuite/gdb.threads/step-over-lands-on-breakpoint.exp b/gdb/testsuite/gdb.threads/step-over-lands-on-breakpoint.exp
index 1e12314..8ac741f 100644
--- a/gdb/testsuite/gdb.threads/step-over-lands-on-breakpoint.exp
+++ b/gdb/testsuite/gdb.threads/step-over-lands-on-breakpoint.exp
@@ -54,9 +54,9 @@ foreach command {"step" "next" "continue" } {
 	gdb_test_no_output "set scheduler-locking off"
 
 	# Thread 2 is still stopped at a breakpoint that needs to be
-	# stepped over before proceeding thread 1.  However, right
-	# where the step-over lands there's another breakpoint
-	# installed, which should trap and be reported to the user.
+	# stepped over.  However, right where the step-over lands
+	# there's another breakpoint installed, which should trap and
+	# be reported to the user.
 	gdb_test "$command" "step-over here.*"
     }
 }
diff --git a/gdb/testsuite/gdb.threads/step-over-trips-on-watchpoint.c b/gdb/testsuite/gdb.threads/step-over-trips-on-watchpoint.c
index 13404da..d6d59de 100644
--- a/gdb/testsuite/gdb.threads/step-over-trips-on-watchpoint.c
+++ b/gdb/testsuite/gdb.threads/step-over-trips-on-watchpoint.c
@@ -43,23 +43,26 @@ child_function (void *arg)
   pthread_exit (NULL);
 }
 
-static int
-wait_threads (void)
-{
-  return 1; /* in wait_threads */
-}
-
 int
 main ()
 {
   int res;
   long i;
 
+  alarm (300);
+
   pthread_barrier_init (&barrier, NULL, 2);
 
   res = pthread_create (&child_thread, NULL, child_function, NULL);
   pthread_barrier_wait (&barrier);
-  wait_threads (); /* set wait-thread breakpoint here */
+
+  /* Use an infinite loop with no function calls so that "step" over
+     this line never finishes before the watchpoint in the other
+     thread triggers.  That can happen if the step-over of thread 2 is
+     done with displaced stepping on a target that is always in
+     non-stop mode, as in that case GDB runs both threads
+     simultaneously.  */
+  while (1); /* set wait-thread breakpoint here */
 
   pthread_join (child_thread, NULL);
 
diff --git a/gdb/testsuite/gdb.threads/step-over-trips-on-watchpoint.exp b/gdb/testsuite/gdb.threads/step-over-trips-on-watchpoint.exp
index b8fc6a8..f40ef0a 100644
--- a/gdb/testsuite/gdb.threads/step-over-trips-on-watchpoint.exp
+++ b/gdb/testsuite/gdb.threads/step-over-trips-on-watchpoint.exp
@@ -76,10 +76,10 @@ proc do_test { with_bp } {
 		gdb_test "thread 1" "Switching to .*"
 		gdb_test_no_output "set scheduler-locking off"
 
-		# Thread 2 is still stopped at a breakpoint that needs to be
-		# stepped over before proceeding thread 1.  However, right
-		# where the step-over lands there's another breakpoint
-		# installed, which should trap and be reported to the user.
+		# Thread 2 is still stopped at a breakpoint that needs
+		# to be stepped over.  However, the instruction that
+		# is under the breakpoint triggers a watchpoint, which
+		# should trap and be reported to the user.
 		gdb_test "$command" "Hardware watchpoint.*: watch_me.*New value = 1.*"
 	    }
 	}
