diff --git a/deluge/tests/test_component.py b/deluge/tests/test_component.py
index afa72378d..57558e150 100644
--- a/deluge/tests/test_component.py
+++ b/deluge/tests/test_component.py
@@ -1,4 +1,5 @@
 from twisted.internet import defer, threads
+from twisted.trial.unittest import SkipTest
 
 import deluge.component as component
 
@@ -200,7 +201,10 @@ class ComponentTestClass(BaseTestCase):
         yield component.start(["test_pause_c1"])
         yield component.pause(["test_pause_c1"])
         test_comp = component.get("test_pause_c1")
-        result = self.failureResultOf(test_comp._component_start())
+        try:
+            result = self.failureResultOf(test_comp._component_start())
+        except AttributeError:
+            raise SkipTest("This test requires trial failureResultOf() in Twisted version >= 13")
         self.assertEqual(result.check(component.ComponentException), component.ComponentException)
 
     @defer.inlineCallbacks
diff --git a/deluge/tests/test_tracker_icons.py b/deluge/tests/test_tracker_icons.py
index 57304f0f1..aeebd64df 100644
--- a/deluge/tests/test_tracker_icons.py
+++ b/deluge/tests/test_tracker_icons.py
@@ -1,7 +1,6 @@
 import os
 
 import pytest
-from twisted.trial.unittest import SkipTest
 
 import deluge.component as component
 import deluge.ui.tracker_icons
@@ -58,15 +57,6 @@ class TrackerIconsTestCase(BaseTestCase):
         d.addCallback(self.assertEquals, icon)
         return d
 
-    def test_get_openbt_png(self):
-        raise SkipTest("openbittorrent.com site is down, possibly permanently")
-        # openbittorrent.com has an incorrect type (image/gif) pylint: disable=unreachable
-        icon = TrackerIcon(os.path.join(dirname, "openbt.png"))
-        d = self.icons.fetch("openbittorrent.com")
-        d.addCallback(self.assertNotIdentical, None)
-        d.addCallback(self.assertEquals, icon)
-        return d
-
     def test_get_empty_string_tracker(self):
         d = self.icons.fetch("")
         d.addCallback(self.assertIdentical, None)
diff --git a/deluge/tests/test_ui_entry.py b/deluge/tests/test_ui_entry.py
index a29a31be3..66930dfe9 100644
--- a/deluge/tests/test_ui_entry.py
+++ b/deluge/tests/test_ui_entry.py
@@ -17,7 +17,6 @@ import sys
 import mock
 import pytest
 from twisted.internet import defer
-from twisted.logger import Logger
 
 import deluge
 import deluge.component as component
@@ -32,8 +31,6 @@ from . import common
 from .basetest import BaseTestCase
 from .daemon_base import DaemonBase
 
-log = Logger()
-
 DEBUG_COMMAND = False
 
 sys_stdout = sys.stdout
@@ -165,8 +162,9 @@ class GtkUIBaseTestCase(UIBaseTestCase):
 class GtkUIDelugeScriptEntryTestCase(BaseTestCase, GtkUIBaseTestCase):
 
     def __init__(self, testname):
-        BaseTestCase.__init__(self, testname)
+        super(GtkUIDelugeScriptEntryTestCase, self).__init__(testname)
         GtkUIBaseTestCase.__init__(self)
+
         self.var["cmd_name"] = "deluge gtk"
         self.var["start_cmd"] = ui_entry.start_ui
         self.var["sys_arg_cmd"] = ["./deluge", "gtk"]
@@ -182,7 +180,7 @@ class GtkUIDelugeScriptEntryTestCase(BaseTestCase, GtkUIBaseTestCase):
 class GtkUIScriptEntryTestCase(BaseTestCase, GtkUIBaseTestCase):
 
     def __init__(self, testname):
-        BaseTestCase.__init__(self, testname)
+        super(GtkUIScriptEntryTestCase, self).__init__(testname)
         GtkUIBaseTestCase.__init__(self)
         from deluge.ui import gtkui
         self.var["cmd_name"] = "deluge-gtk"
@@ -231,7 +229,7 @@ class WebUIBaseTestCase(UIBaseTestCase):
 class WebUIScriptEntryTestCase(BaseTestCase, WebUIBaseTestCase):
 
     def __init__(self, testname):
-        BaseTestCase.__init__(self, testname)
+        super(WebUIScriptEntryTestCase, self).__init__(testname)
         WebUIBaseTestCase.__init__(self)
         self.var["cmd_name"] = "deluge-web"
         self.var["start_cmd"] = deluge.ui.web.start
@@ -247,7 +245,7 @@ class WebUIScriptEntryTestCase(BaseTestCase, WebUIBaseTestCase):
 class WebUIDelugeScriptEntryTestCase(BaseTestCase, WebUIBaseTestCase):
 
     def __init__(self, testname):
-        BaseTestCase.__init__(self, testname)
+        super(WebUIDelugeScriptEntryTestCase, self).__init__(testname)
         WebUIBaseTestCase.__init__(self)
         self.var["cmd_name"] = "deluge web"
         self.var["start_cmd"] = ui_entry.start_ui
@@ -368,7 +366,7 @@ Total torrents: 0
 class ConsoleScriptEntryWithDaemonTestCase(BaseTestCase, ConsoleUIWithDaemonBaseTestCase):
 
     def __init__(self, testname):
-        BaseTestCase.__init__(self, testname)
+        super(ConsoleScriptEntryWithDaemonTestCase, self).__init__(testname)
         ConsoleUIWithDaemonBaseTestCase.__init__(self)
         self.var["cmd_name"] = "deluge-console"
         self.var["sys_arg_cmd"] = ["./deluge-console"]
@@ -391,7 +389,7 @@ class ConsoleScriptEntryWithDaemonTestCase(BaseTestCase, ConsoleUIWithDaemonBase
 class ConsoleScriptEntryTestCase(BaseTestCase, ConsoleUIBaseTestCase):
 
     def __init__(self, testname):
-        BaseTestCase.__init__(self, testname)
+        super(ConsoleScriptEntryTestCase, self).__init__(testname)
         ConsoleUIBaseTestCase.__init__(self)
         self.var["cmd_name"] = "deluge-console"
         self.var["start_cmd"] = deluge.ui.console.start
@@ -407,7 +405,7 @@ class ConsoleScriptEntryTestCase(BaseTestCase, ConsoleUIBaseTestCase):
 class ConsoleDelugeScriptEntryTestCase(BaseTestCase, ConsoleUIBaseTestCase):
 
     def __init__(self, testname):
-        BaseTestCase.__init__(self, testname)
+        super(ConsoleDelugeScriptEntryTestCase, self).__init__(testname)
         ConsoleUIBaseTestCase.__init__(self)
         self.var["cmd_name"] = "deluge console"
         self.var["start_cmd"] = ui_entry.start_ui
diff --git a/deluge/tests/test_webserver.py b/deluge/tests/test_webserver.py
index 1350dc9c3..fb546068b 100644
--- a/deluge/tests/test_webserver.py
+++ b/deluge/tests/test_webserver.py
@@ -12,6 +12,7 @@ from StringIO import StringIO
 
 import twisted.web.client
 from twisted.internet import defer, reactor
+from twisted.trial.unittest import SkipTest
 from twisted.web.client import Agent, FileBodyProducer
 from twisted.web.http_headers import Headers
 
@@ -26,6 +27,7 @@ class WebServerTestCase(WebServerTestBase, WebServerMockBase):
 
     @defer.inlineCallbacks
     def test_get_torrent_info(self):
+
         agent = Agent(reactor)
 
         self.mock_authentication_ignore(self.deluge_web.auth)
@@ -42,7 +44,10 @@ class WebServerTestCase(WebServerTestBase, WebServerMockBase):
             Headers({'User-Agent': ['Twisted Web Client Example'],
                      'Content-Type': ['application/json']}),
             FileBodyProducer(StringIO('{"params": ["%s"], "method": "web.get_torrent_info", "id": 22}' % filename)))
+        try:
+            body = yield twisted.web.client.readBody(d)
+        except AttributeError:
+            raise SkipTest("This test requires 't.w.c.readBody()' in Twisted version >= 13.2")
 
-        body = yield twisted.web.client.readBody(d)
         json = json_lib.loads(body)
         self.assertEqual(None, json["error"])