diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index b93cadd77..b364170ca 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -10,7 +10,7 @@ jobs:
       matrix:
         django-version: [2.2, 3.1, 3.2]
         python-version: [3.6, 3.7, 3.8, 3.9]
-        elastic-version: [1.7, 2.4, 5.5]
+        elastic-version: [1.7, 2.4, 5.5, '7.13.1']
         include:
           - django-version: 2.2
             python-version: 3.5
@@ -21,6 +21,9 @@ jobs:
           - django-version: 2.2
             python-version: 3.5
             elastic-version: 5.5
+          - django-version: 2.2
+            python-version: 3.5
+            elastic-version: '7.13.1'
     services:
       elastic:
         image: elasticsearch:${{ matrix.elastic-version }}
diff --git a/haystack/backends/elasticsearch7_backend.py b/haystack/backends/elasticsearch7_backend.py
index a8d2db572..723424eaf 100644
--- a/haystack/backends/elasticsearch7_backend.py
+++ b/haystack/backends/elasticsearch7_backend.py
@@ -16,13 +16,13 @@
 try:
     import elasticsearch
 
-    if not ((5, 0, 0) <= elasticsearch.__version__ < (6, 0, 0)):
+    if not ((7, 0, 0) <= elasticsearch.__version__ < (8, 0, 0)):
         raise ImportError
     from elasticsearch.helpers import bulk, scan
 except ImportError:
     raise MissingDependency(
         "The 'elasticsearch5' backend requires the \
-                            installation of 'elasticsearch>=5.0.0,<6.0.0'. \
+                            installation of 'elasticsearch>=7.0.0,<8.0.0'. \
                             Please refer to the documentation."
     )
 
diff --git a/test_haystack/elasticsearch7_tests/__init__.py b/test_haystack/elasticsearch7_tests/__init__.py
index 09f1ab176..6491d464a 100644
--- a/test_haystack/elasticsearch7_tests/__init__.py
+++ b/test_haystack/elasticsearch7_tests/__init__.py
@@ -13,14 +13,14 @@ def setup():
     try:
         import elasticsearch
 
-        if not ((5, 0, 0) <= elasticsearch.__version__ < (6, 0, 0)):
+        if not ((7, 0, 0) <= elasticsearch.__version__ < (8, 0, 0)):
             raise ImportError
         from elasticsearch import Elasticsearch, exceptions
     except ImportError:
         log.error(
-            "Skipping ElasticSearch 5 tests: 'elasticsearch>=5.0.0,<6.0.0' not installed."
+            "Skipping ElasticSearch 7 tests: 'elasticsearch>=7.0.0,<8.0.0' not installed."
         )
-        raise unittest.SkipTest("'elasticsearch>=5.0.0,<6.0.0' not installed.")
+        raise unittest.SkipTest("'elasticsearch>=7.0.0,<8.0.0' not installed.")
 
     url = settings.HAYSTACK_CONNECTIONS["elasticsearch"]["URL"]
     es = Elasticsearch(url)
diff --git a/tox.ini b/tox.ini
index 6548f1023..9eefabfc8 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,8 +1,8 @@
 [tox]
 envlist =
     docs
-    py35-django2.2-es{1.x,2.x,5.x}
-    py{36,37,38,py}-django{2.2,3.0}-es{1.x,2.x,5.x}
+    py35-django2.2-es{1.x,2.x,5.x,7.x}
+    py{36,37,38,py}-django{2.2,3.0}-es{1.x,2.x,5.x,7.x}
 
 
 [testenv]
@@ -16,10 +16,12 @@ deps =
     es1.x: elasticsearch>=1,<2
     es2.x: elasticsearch>=2,<3
     es5.x: elasticsearch>=5,<6
+    es7.x: elasticsearch>=7,<8
 setenv =
     es1.x: VERSION_ES=>=1,<2
     es2.x: VERSION_ES=>=2,<3
     es5.x: VERSION_ES=>=5,<6
+    es7.x: VERSION_ES=>=7,<8
 
 
 [testenv:docs]