diff --git a/gdb/gdbserver/ChangeLog b/gdb/gdbserver/ChangeLog
index db76e1a0ccb..e0ed616aba9 100644
--- a/gdb/gdbserver/ChangeLog
+++ b/gdb/gdbserver/ChangeLog
@@ -1,3 +1,9 @@
+2016-04-22  Yao Qi  <yao.qi@linaro.org>
+
+	* linux-low.c (lwp_signal_can_be_delivered): Don't deliver
+	signal when stepping over breakpoint with software single
+	step.
+
 2016-04-21  Pedro Alves  <palves@redhat.com>
 
 	* linux-s390-low.c (s390_collect_ptrace_register)
diff --git a/gdb/gdbserver/linux-low.c b/gdb/gdbserver/linux-low.c
index 7630f9f81a4..5cbd3088ef1 100644
--- a/gdb/gdbserver/linux-low.c
+++ b/gdb/gdbserver/linux-low.c
@@ -4119,13 +4119,17 @@ single_step (struct lwp_info* lwp)
 }
 
 /* The signal can be delivered to the inferior if we are not trying to
-   reinsert a breakpoint and not trying to finish a fast tracepoint
-   collect.  */
+   reinsert a breakpoint for software single step and not trying to
+   finish a fast tracepoint collect.  Since signal can be delivered in
+   the step-over, the program may go to signal handler and trap again
+   after return from the signal handler.  We can live with the spurious
+   double traps.  */
 
 static int
 lwp_signal_can_be_delivered (struct lwp_info *lwp)
 {
-  return (lwp->bp_reinsert == 0 && !lwp->collecting_fast_tracepoint);
+  return (!(lwp->bp_reinsert != 0 && can_software_single_step ())
+	  && !lwp->collecting_fast_tracepoint);
 }
 
 /* Resume execution of LWP.  If STEP is nonzero, single-step it.  If
diff --git a/gdb/testsuite/ChangeLog b/gdb/testsuite/ChangeLog
index 29447afc6bf..249cbc0b095 100644
--- a/gdb/testsuite/ChangeLog
+++ b/gdb/testsuite/ChangeLog
@@ -1,3 +1,8 @@
+2016-04-22  Yao Qi  <yao.qi@linaro.org>
+
+	* gdb.trace/signal.exp: Also pass if
+	$tracepoint_hits($i) > $iterations.
+
 2016-04-22  Yao Qi  <yao.qi@linaro.org>
 
 	* gdb.trace/signal.c: New file.
diff --git a/gdb/testsuite/gdb.trace/signal.exp b/gdb/testsuite/gdb.trace/signal.exp
index 7118a9fea75..48e495ee78e 100644
--- a/gdb/testsuite/gdb.trace/signal.exp
+++ b/gdb/testsuite/gdb.trace/signal.exp
@@ -174,6 +174,14 @@ while { 1 } {
 # Step 3, check the number of collections on each tracepoint.
 
 for { set i $tpnum } { $i < [expr $tpnum + 2] } { incr i } {
-    gdb_assert { $tracepoint_hits($i) == $iterations } \
-	"tracepoint $i hit $iterations times"
+
+    if { $tracepoint_hits($i) == $iterations } {
+	pass "tracepoint $i hit $iterations times"
+    } elseif { $tracepoint_hits($i) > $iterations } {
+	# GDBserver deliver the signal while stepping over tracepoint,
+	# so it is possible that a tracepoint is collected twice.
+	pass "tracepoint $i hit $iterations times (spurious collection)"
+    } else {
+	fail "tracepoint $i hit $iterations times"
+    }
 }