diff --git a/.travis.yml b/.travis.yml
index 357fe6041..ba33fff97 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -7,35 +7,67 @@ matrix:
     - env: TOXENV=style
     - env: TOXENV=readme
     - python: 3.5
-      env: TOXENV=py35-dj111
+      env: TOXENV=py35-dj111-sqlite
     - python: 3.6
-      env: TOXENV=py36-dj111
+      env: TOXENV=py36-dj111-sqlite
     - python: 3.7
-      env: TOXENV=py37-dj111
+      env: TOXENV=py37-dj111-sqlite
     - python: 3.5
-      env: TOXENV=py35-dj22
+      env: TOXENV=py35-dj22-sqlite
     - python: 3.6
-      env: TOXENV=py36-dj22
+      env: TOXENV=py36-dj22-sqlite
     - python: 3.7
-      env: TOXENV=py37-dj22
+      env: TOXENV=py37-dj22-sqlite
     - python: 3.8
-      env: TOXENV=py38-dj22
+      env: TOXENV=py38-dj22-sqlite
     - python: 3.6
-      env: TOXENV=py36-dj30
+      env: TOXENV=py36-dj30-sqlite
     - python: 3.7
-      env: TOXENV=py37-dj30
+      env: TOXENV=py37-dj30-sqlite
     - python: 3.8
-      env: TOXENV=py38-dj30
+      env: TOXENV=py38-dj30-sqlite
     - python: 3.6
-      env: TOXENV=py36-djmaster
+      env: TOXENV=py36-djmaster-sqlite
     - python: 3.7
-      env: TOXENV=py37-djmaster
+      env: TOXENV=py37-djmaster-sqlite
     - python: 3.8
-      env: TOXENV=py38-djmaster
-    - env: TOXENV=postgresql
+      env: TOXENV=py38-djmaster-sqlite
+    - python: 3.7
+      env: TOXENV=py37-dj111-postgresql
+      addons:
+        postgresql: "9.5"
+    - python: 3.8
+      env: TOXENV=py38-dj22-postgresql
+      addons:
+        postgresql: "9.5"
+    - python: 3.8
+      env: TOXENV=py38-dj30-postgresql
       addons:
         postgresql: "9.5"
-    - env: TOXENV=mariadb
+    - python: 3.7
+      env: TOXENV=py37-dj111-mariadb
+      addons:
+        mariadb: "10.3"
+      script:
+        # working around https://travis-ci.community/t/mariadb-build-error-with-xenial/3160
+        - mysql -u root -e "DROP USER IF EXISTS 'travis'@'%';"
+        - mysql -u root -e "CREATE USER 'travis'@'%';"
+        - mysql -u root -e "CREATE DATABASE debug_toolbar;"
+        - mysql -u root -e "GRANT ALL PRIVILEGES ON *.* TO 'travis'@'%';";
+        - tox -v
+    - python: 3.8
+      env: TOXENV=py38-dj22-mariadb
+      addons:
+        mariadb: "10.3"
+      script:
+        # working around https://travis-ci.community/t/mariadb-build-error-with-xenial/3160
+        - mysql -u root -e "DROP USER IF EXISTS 'travis'@'%';"
+        - mysql -u root -e "CREATE USER 'travis'@'%';"
+        - mysql -u root -e "CREATE DATABASE debug_toolbar;"
+        - mysql -u root -e "GRANT ALL PRIVILEGES ON *.* TO 'travis'@'%';";
+        - tox -v
+    - python: 3.8
+      env: TOXENV=py38-dj30-mariadb
       addons:
         mariadb: "10.3"
       script:
@@ -46,9 +78,11 @@ matrix:
         - mysql -u root -e "GRANT ALL PRIVILEGES ON *.* TO 'travis'@'%';";
         - tox -v
   allow_failures:
-    - env: TOXENV=py36-djmaster
-    - env: TOXENV=py37-djmaster
-    - env: TOXENV=py38-djmaster
+    - env: TOXENV=py36-djmaster-sqlite
+    - env: TOXENV=py37-djmaster-sqlite
+    - env: TOXENV=py38-djmaster-sqlite
+    - env: TOXENV=py38-djmaster-postgresql
+    - env: TOXENV=py38-djmaster-mariadb
 
 install:
   - pip install tox codecov
diff --git a/debug_toolbar/management/commands/debugsqlshell.py b/debug_toolbar/management/commands/debugsqlshell.py
index ea39f3e1c..78e09e27d 100644
--- a/debug_toolbar/management/commands/debugsqlshell.py
+++ b/debug_toolbar/management/commands/debugsqlshell.py
@@ -1,13 +1,19 @@
 from time import time
 
+import django
 import sqlparse
 from django.core.management.commands.shell import Command  # noqa
-from django.db.backends import utils as db_backends_utils
+from django.db import connection
+
+if connection.vendor == "postgresql" and django.VERSION >= (3, 0, 0):
+    from django.db.backends.postgresql import base as base_module
+else:
+    from django.db.backends import utils as base_module
 
 # 'debugsqlshell' is the same as the 'shell'.
 
 
-class PrintQueryWrapper(db_backends_utils.CursorDebugWrapper):
+class PrintQueryWrapper(base_module.CursorDebugWrapper):
     def execute(self, sql, params=()):
         start_time = time()
         try:
@@ -20,4 +26,4 @@ def execute(self, sql, params=()):
             print("{} [{:.2f}ms]".format(formatted_sql, duration))
 
 
-db_backends_utils.CursorDebugWrapper = PrintQueryWrapper
+base_module.CursorDebugWrapper = PrintQueryWrapper
diff --git a/tests/commands/test_debugsqlshell.py b/tests/commands/test_debugsqlshell.py
index 54cd248e0..9520d0dd8 100644
--- a/tests/commands/test_debugsqlshell.py
+++ b/tests/commands/test_debugsqlshell.py
@@ -1,17 +1,23 @@
 import io
 import sys
 
+import django
 from django.contrib.auth.models import User
 from django.core import management
-from django.db.backends import utils as db_backends_utils
+from django.db import connection
 from django.test import TestCase
 from django.test.utils import override_settings
 
+if connection.vendor == "postgresql" and django.VERSION >= (3, 0, 0):
+    from django.db.backends.postgresql import base as base_module
+else:
+    from django.db.backends import utils as base_module
+
 
 @override_settings(DEBUG=True)
 class DebugSQLShellTestCase(TestCase):
     def setUp(self):
-        self.original_cursor_wrapper = db_backends_utils.CursorDebugWrapper
+        self.original_wrapper = base_module.CursorDebugWrapper
         # Since debugsqlshell monkey-patches django.db.backends.utils, we can
         # test it simply by loading it, without executing it. But we have to
         # undo the monkey-patch on exit.
@@ -20,7 +26,7 @@ def setUp(self):
         management.load_command_class(app_name, command_name)
 
     def tearDown(self):
-        db_backends_utils.CursorDebugWrapper = self.original_cursor_wrapper
+        base_module.CursorDebugWrapper = self.original_wrapper
 
     def test_command(self):
         original_stdout, sys.stdout = sys.stdout, io.StringIO()
diff --git a/tox.ini b/tox.ini
index be08e2083..f7d26a2e5 100644
--- a/tox.ini
+++ b/tox.ini
@@ -3,18 +3,21 @@ envlist =
     flake8
     style
     readme
-    py{35,36,37}-dj111
-    py{35,36,37,38}-dj22
-    py{36,37,38}-dj30
-    py{36,37,38}-djmaster
-    postgresql
-    mariadb
+    py{35,36,37}-dj111-sqlite
+    py{35,36,37,38}-dj22-sqlite
+    py{36,37,38}-dj30-sqlite
+    py{36,37,38}-djmaster-sqlite
+    py37-dj111-{postgresql,mariadb}
+    py{37,38}-dj{22,30}-{postgresql,mariadb}
 
 [testenv]
 deps =
     dj111: Django==1.11.*
     dj22: Django==2.2.*
     dj30: Django==3.0.*
+    sqlite: mock
+    postgresql: psycopg2-binary
+    mariadb: mysqlclient
     djmaster: https://github.com/django/django/archive/master.tar.gz
     coverage
     Jinja2
@@ -23,38 +26,8 @@ deps =
     sqlparse
 setenv =
     PYTHONPATH = {toxinidir}
-whitelist_externals = make
-pip_pre = True
-commands = make coverage TEST_ARGS='{posargs:tests}'
-
-[testenv:postgresql]
-deps =
-    Django==1.11.*
-    coverage
-    Jinja2
-    html5lib
-    psycopg2-binary
-    selenium<4.0
-    sqlparse
-setenv =
-    PYTHONPATH = {toxinidir}
-    DJANGO_DATABASE_ENGINE = postgresql
-whitelist_externals = make
-pip_pre = True
-commands = make coverage TEST_ARGS='{posargs:tests}'
-
-[testenv:mariadb]
-deps =
-    Django==2.2.*
-    coverage
-    Jinja2
-    html5lib
-    mysqlclient<1.4
-    selenium<4.0
-    sqlparse
-setenv =
-    PYTHONPATH = {toxinidir}
-    DJANGO_DATABASE_ENGINE = mysql
+    postgresql: DJANGO_DATABASE_ENGINE = postgresql
+    mariadb: DJANGO_DATABASE_ENGINE = mysql
 whitelist_externals = make
 pip_pre = True
 commands = make coverage TEST_ARGS='{posargs:tests}'