diff --git a/tests/requirements/reqs-elasticsearch-7.txt b/tests/requirements/reqs-elasticsearch-7.txt
index 5fa4e0a25..c1ee19a1a 100644
--- a/tests/requirements/reqs-elasticsearch-7.txt
+++ b/tests/requirements/reqs-elasticsearch-7.txt
@@ -1,3 +1,3 @@
 elasticsearch>=7.0,<8.0
-aiohttp ; python_version >= '3.6'
+aiohttp
 -r reqs-base.txt
diff --git a/tests/requirements/reqs-elasticsearch-8.txt b/tests/requirements/reqs-elasticsearch-8.txt
index c2b0c8d8c..2cbb658f1 100644
--- a/tests/requirements/reqs-elasticsearch-8.txt
+++ b/tests/requirements/reqs-elasticsearch-8.txt
@@ -1,3 +1,3 @@
 elasticsearch>=8.0,<9.0
-aiohttp ; python_version >= '3.6'
+aiohttp
 -r reqs-base.txt
diff --git a/tests/requirements/reqs-pymssql-newest.txt b/tests/requirements/reqs-pymssql-newest.txt
index 9a4c379dc..3b3553ac6 100644
--- a/tests/requirements/reqs-pymssql-newest.txt
+++ b/tests/requirements/reqs-pymssql-newest.txt
@@ -1,3 +1,4 @@
-cython ; python_version >= '3.6'
-pymssql
+cython
+pymssql ; python_version >= '3.9'
+pymssql==2.3.1 ; python_version < '3.9'
 -r reqs-base.txt