diff --git a/tox.ini b/tox.ini
index e193de52b1..32794326a7 100644
--- a/tox.ini
+++ b/tox.ini
@@ -248,7 +248,7 @@ deps =
 
     # === Common ===
     py3.8-common: hypothesis
-    {py3.6,py3.7,py3.8,py3.9,py3.10,py3.11,py3.12}-common: pytest-asyncio<=0.21.1
+    {py3.6,py3.7,py3.8,py3.9,py3.10,py3.11,py3.12}-common: pytest-asyncio
     # See https://github.com/pytest-dev/pytest/issues/9621
     # and https://github.com/pytest-dev/pytest-forked/issues/67
     # for justification of the upper bound on pytest
@@ -268,8 +268,8 @@ deps =
     aiohttp-v3.8: aiohttp~=3.8.0
     aiohttp-latest: aiohttp
     aiohttp: pytest-aiohttp
-    aiohttp-v3.8: pytest-asyncio<=0.21.1
-    aiohttp-latest: pytest-asyncio<=0.21.1
+    aiohttp-v3.8: pytest-asyncio
+    aiohttp-latest: pytest-asyncio
 
     # Ariadne
     ariadne-v0.20: ariadne~=0.20.0
@@ -283,17 +283,17 @@ deps =
     arq-v0.23: pydantic<2
     arq-latest: arq
     arq: fakeredis>=2.2.0,<2.8
-    arq: pytest-asyncio<=0.21.1
+    arq: pytest-asyncio
     arq: async-timeout
 
     # Asgi
-    asgi: pytest-asyncio<=0.21.1
+    asgi: pytest-asyncio
     asgi: async-asgi-testclient
 
     # Asyncpg
     asyncpg-v0.23: asyncpg~=0.23.0
     asyncpg-latest: asyncpg
-    asyncpg: pytest-asyncio<=0.21.1
+    asyncpg: pytest-asyncio
 
     # AWS Lambda
     aws_lambda: boto3
@@ -345,10 +345,10 @@ deps =
     django-v{1.11,2.0,2.2,3.0}: pytest-django<4.0
     django-v{3.2,4.0,4.1,4.2,5.0}: pytest-django
     django-v{4.0,4.1,4.2,5.0}: djangorestframework
-    django-v{4.0,4.1,4.2,5.0}: pytest-asyncio<=0.21.1
+    django-v{4.0,4.1,4.2,5.0}: pytest-asyncio
     django-v{4.0,4.1,4.2,5.0}: Werkzeug
     django-latest: djangorestframework
-    django-latest: pytest-asyncio<=0.21.1
+    django-latest: pytest-asyncio
     django-latest: pytest-django
     django-latest: Werkzeug
     django-latest: channels[daphne]
@@ -375,7 +375,7 @@ deps =
     fastapi: httpx
     # (this is a dependency of httpx)
     fastapi: anyio<4.0.0
-    fastapi: pytest-asyncio<=0.21.1
+    fastapi: pytest-asyncio
     fastapi: python-multipart
     fastapi: requests
     fastapi-v{0.79}: fastapi~=0.79.0
@@ -407,7 +407,7 @@ deps =
     grpc: protobuf
     grpc: mypy-protobuf
     grpc: types-protobuf
-    grpc: pytest-asyncio<=0.21.1
+    grpc: pytest-asyncio
     grpc-v1.39: grpcio~=1.39.0
     grpc-v1.49: grpcio~=1.49.1
     grpc-v1.59: grpcio~=1.59.0
@@ -472,7 +472,7 @@ deps =
 
     # Quart
     quart: quart-auth
-    quart: pytest-asyncio<=0.21.1
+    quart: pytest-asyncio
     quart-v0.16: blinker<1.6
     quart-v0.16: jinja2<3.1.0
     quart-v0.16: Werkzeug<2.1.0
@@ -485,7 +485,7 @@ deps =
     # Redis
     redis: fakeredis!=1.7.4
     redis: pytest<8.0.0
-    {py3.7,py3.8,py3.9,py3.10,py3.11}-redis: pytest-asyncio<=0.21.1
+    {py3.7,py3.8,py3.9,py3.10,py3.11}-redis: pytest-asyncio
     redis-v3: redis~=3.0
     redis-v4: redis~=4.0
     redis-v5: redis~=5.0
@@ -526,7 +526,7 @@ deps =
     sanic-latest: sanic
 
     # Starlette
-    starlette: pytest-asyncio<=0.21.1
+    starlette: pytest-asyncio
     starlette: python-multipart
     starlette: requests
     starlette: httpx
@@ -541,7 +541,7 @@ deps =
     starlette-latest: starlette
 
     # Starlite
-    starlite: pytest-asyncio<=0.21.1
+    starlite: pytest-asyncio
     starlite: python-multipart
     starlite: requests
     starlite: cryptography
@@ -563,6 +563,7 @@ deps =
     strawberry-latest: strawberry-graphql[fastapi,flask]
 
     # Tornado
+    tornado: pytest<8.2
     tornado-v6.0: tornado~=6.0.0
     tornado-v6: tornado~=6.0
     tornado-latest: tornado