diff --git a/0001-tests-test-captive.sh-Increase-sleep-times.patch b/0001-tests-test-captive.sh-Increase-sleep-times.patch
new file mode 100644
index 0000000..2336777
--- /dev/null
+++ b/0001-tests-test-captive.sh-Increase-sleep-times.patch
@@ -0,0 +1,39 @@
+From 740f6dee658ee6adb356d9600e2b51bb22dbce1e Mon Sep 17 00:00:00 2001
+From: "Richard W.M. Jones" <rjones@redhat.com>
+Date: Sat, 19 Oct 2019 18:31:24 +0100
+Subject: [PATCH 1/2] tests/test-captive.sh: Increase sleep times.
+
+Short sleeps in this test make the test very prone to failure on slow
+or heavily loaded machines.
+
+Fixes commit 38165d0f8f5a4eb898d756a561811c2fe042fe4d.
+
+See also
+https://www.redhat.com/archives/libguestfs/2019-October/msg00115.html
+---
+ tests/test-captive.sh | 4 ++--
+ 1 file changed, 2 insertions(+), 2 deletions(-)
+
+diff --git a/tests/test-captive.sh b/tests/test-captive.sh
+index 88c0d81..8890073 100755
+--- a/tests/test-captive.sh
++++ b/tests/test-captive.sh
+@@ -72,13 +72,13 @@ fi
+ # Check that nbdkit death from unhandled signal affects exit status
+ status=0
+ nbdkit -U - -P captive.pid example1 --run '
+-test ! -s captive.pid || sleep 1
++test ! -s captive.pid || sleep 5
+ if test ! -s captive.pid; then
+   echo "no pidfile yet"
+   exit 10
+ fi
+ kill -s ABRT $(cat captive.pid) || exit 10
+-sleep 1
++sleep 5
+ ' > captive.out || status=$?
+ if test $status != $(( 128 + $(kill -l ABRT) )); then
+     echo "$0: unexpected exit status $status"
+-- 
+2.23.0
+
diff --git a/0001-tests-test-captive.sh-Revert-sleep-back-to-5-seconds.patch b/0002-tests-test-captive.sh-Remove-useless-sleep.patch
similarity index 51%
rename from 0001-tests-test-captive.sh-Revert-sleep-back-to-5-seconds.patch
rename to 0002-tests-test-captive.sh-Remove-useless-sleep.patch
index 7d16647..a270463 100644
--- a/0001-tests-test-captive.sh-Revert-sleep-back-to-5-seconds.patch
+++ b/0002-tests-test-captive.sh-Remove-useless-sleep.patch
@@ -1,19 +1,14 @@
-From 05e478255b23a7149e5189fe718dad53a4488701 Mon Sep 17 00:00:00 2001
+From f4e7db5062dc59662ce05796f95f93017187f1d6 Mon Sep 17 00:00:00 2001
 From: "Richard W.M. Jones" <rjones@redhat.com>
-Date: Sat, 19 Oct 2019 18:31:24 +0100
-Subject: [PATCH] tests/test-captive.sh: Revert sleep back to 5 seconds.
+Date: Sat, 19 Oct 2019 18:52:47 +0100
+Subject: [PATCH 2/2] tests/test-captive.sh: Remove useless sleep.
 
-For unknown reasons this makes the test very prone to failure on slow
-or heavily loaded machines.
-
-Reverts sleep change from
-commit 38165d0f8f5a4eb898d756a561811c2fe042fe4d.
 ---
  tests/test-captive.sh | 2 +-
  1 file changed, 1 insertion(+), 1 deletion(-)
 
 diff --git a/tests/test-captive.sh b/tests/test-captive.sh
-index 88c0d81..b62d5fc 100755
+index 8890073..22a90ca 100755
 --- a/tests/test-captive.sh
 +++ b/tests/test-captive.sh
 @@ -44,7 +44,7 @@ rm -f $files
@@ -21,7 +16,7 @@ index 88c0d81..b62d5fc 100755
  
  nbdkit -U $sock example1 --run '
 -    sleep 1; echo nbd=$nbd; echo port=$port; echo socket=$unixsocket
-+    sleep 5; echo nbd=$nbd; echo port=$port; echo socket=$unixsocket
++    echo nbd=$nbd; echo port=$port; echo socket=$unixsocket
    ' > captive.out
  
  # Check the output.
diff --git a/nbdkit.spec b/nbdkit.spec
index 687a43b..61055ee 100644
--- a/nbdkit.spec
+++ b/nbdkit.spec
@@ -42,7 +42,8 @@ Source2:       libguestfs.keyring
 %endif
 
 # Make tests/test-captive.sh stable.
-Patch1:        0001-tests-test-captive.sh-Revert-sleep-back-to-5-seconds.patch
+Patch1:        0001-tests-test-captive.sh-Increase-sleep-times.patch
+Patch2:        0002-tests-test-captive.sh-Remove-useless-sleep.patch
 
 %if 0%{patches_touch_autotools}
 BuildRequires: autoconf, automake, libtool