diff --git a/swh/core/tests/test_config.py b/swh/core/tests/test_config.py
--- a/swh/core/tests/test_config.py
+++ b/swh/core/tests/test_config.py
@@ -103,28 +103,28 @@
         res = config.read(self.conffile, self.default_conf)
 
         # then
-        self.assertEquals(res, self.parsed_conffile)
+        self.assertEqual(res, self.parsed_conffile)
 
     def test_read_empty_file(self):
         # when
         res = config.read(None, self.default_conf)
 
         # then
-        self.assertEquals(res, self.parsed_default_conf)
+        self.assertEqual(res, self.parsed_default_conf)
 
     def test_support_non_existing_conffile(self):
         # when
         res = config.read(self.non_existing_conffile, self.default_conf)
 
         # then
-        self.assertEquals(res, self.parsed_default_conf)
+        self.assertEqual(res, self.parsed_default_conf)
 
     def test_support_empty_conffile(self):
         # when
         res = config.read(self.empty_conffile, self.default_conf)
 
         # then
-        self.assertEquals(res, self.parsed_default_conf)
+        self.assertEqual(res, self.parsed_default_conf)
 
     def test_raise_on_broken_directory_perms(self):
         with self.assertRaises(PermissionError):
@@ -140,7 +140,7 @@
                                            self.other_default_conf)
 
         # then
-        self.assertEquals(res, self.full_default_conf)
+        self.assertEqual(res, self.full_default_conf)
 
     def test_priority_read_nonexist_conf(self):
         # when
@@ -148,7 +148,7 @@
                                    self.default_conf)
 
         # then
-        self.assertEquals(res, self.parsed_conffile)
+        self.assertEqual(res, self.parsed_conffile)
 
     def test_priority_read_conf_nonexist_empty(self):
         # when
@@ -159,7 +159,7 @@
         ], self.default_conf)
 
         # then
-        self.assertEquals(res, self.parsed_conffile)
+        self.assertEqual(res, self.parsed_conffile)
 
     def test_priority_read_empty_conf_nonexist(self):
         # when
@@ -170,7 +170,7 @@
         ], self.default_conf)
 
         # then
-        self.assertEquals(res, self.parsed_default_conf)
+        self.assertEqual(res, self.parsed_default_conf)
 
     def test_swh_config_paths(self):
         res = config.swh_config_paths('foo/bar.ini')
diff --git a/swh/core/tests/test_logger.py b/swh/core/tests/test_logger.py
--- a/swh/core/tests/test_logger.py
+++ b/swh/core/tests/test_logger.py
@@ -33,7 +33,7 @@
     def test_log(self):
         self.logger.info('notice',
                          extra={'swh_type': 'test entry', 'swh_data': 42})
-        self.logger.warn('warning')
+        self.logger.warning('warning')
 
         with self.conn.cursor() as cur:
             cur.execute('SELECT level, message, data, src_module FROM log')
diff --git a/swh/core/tests/test_utils.py b/swh/core/tests/test_utils.py
--- a/swh/core/tests/test_utils.py
+++ b/swh/core/tests/test_utils.py
@@ -34,19 +34,19 @@
         with self.assertRaises(UnicodeDecodeError):
             raw_data_err.decode('utf-8', 'strict')
 
-        self.assertEquals(
+        self.assertEqual(
             raw_data_err.decode('utf-8', 'backslashescape'),
             'abcd\\x80',
         )
 
         raw_data_ok = b'abcd\xc3\xa9'
-        self.assertEquals(
+        self.assertEqual(
             raw_data_ok.decode('utf-8', 'backslashescape'),
             raw_data_ok.decode('utf-8', 'strict'),
         )
 
         unicode_data = 'abcdef\u00a3'
-        self.assertEquals(
+        self.assertEqual(
             unicode_data.encode('ascii', 'backslashescape'),
             b'abcdef\\xa3',
         )
@@ -55,7 +55,7 @@
         valid_data = '\\x01020304\\x00'
         valid_data_encoded = b'\x01020304\x00'
 
-        self.assertEquals(
+        self.assertEqual(
             valid_data_encoded,
             utils.encode_with_unescape(valid_data)
         )
@@ -73,7 +73,7 @@
         backslashes = b'foo\\bar\\\\baz'
         backslashes_escaped = 'foo\\\\bar\\\\\\\\baz'
 
-        self.assertEquals(
+        self.assertEqual(
             backslashes_escaped,
             utils.decode_with_escape(backslashes),
         )
@@ -81,7 +81,7 @@
         valid_utf8 = b'foo\xc3\xa2'
         valid_utf8_escaped = 'foo\u00e2'
 
-        self.assertEquals(
+        self.assertEqual(
             valid_utf8_escaped,
             utils.decode_with_escape(valid_utf8),
         )
@@ -89,7 +89,7 @@
         invalid_utf8 = b'foo\xa2'
         invalid_utf8_escaped = 'foo\\xa2'
 
-        self.assertEquals(
+        self.assertEqual(
             invalid_utf8_escaped,
             utils.decode_with_escape(invalid_utf8),
         )
@@ -97,7 +97,7 @@
         valid_utf8_nul = b'foo\xc3\xa2\x00'
         valid_utf8_nul_escaped = 'foo\u00e2\\x00'
 
-        self.assertEquals(
+        self.assertEqual(
             valid_utf8_nul_escaped,
             utils.decode_with_escape(valid_utf8_nul),
         )
@@ -107,10 +107,10 @@
         actual_commonname = utils.commonname('/some/where/to/',
                                              '/some/where/to/go/to')
         # then
-        self.assertEquals('go/to', actual_commonname)
+        self.assertEqual('go/to', actual_commonname)
 
         # when
         actual_commonname2 = utils.commonname(b'/some/where/to/',
                                               b'/some/where/to/go/to')
         # then
-        self.assertEquals(b'go/to', actual_commonname2)
+        self.assertEqual(b'go/to', actual_commonname2)
diff --git a/tox.ini b/tox.ini
--- a/tox.ini
+++ b/tox.ini
@@ -4,10 +4,10 @@
 [testenv:py3]
 deps =
   -r requirements-test.txt
-  coverage
+  pytest-cov
   pifpaf
 commands =
-  pifpaf run postgresql -- pytest {posargs}
+  pifpaf run postgresql -- pytest --cov=swh --cov-branch {posargs}
 
 [testenv:flake8]
 skip_install = true