diff --git a/pyproject.toml b/pyproject.toml
index 49af63663..06802aba9 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -45,22 +45,23 @@ Documentation = "https://fastapi.tiangolo.com/"
 [tool.flit.metadata.requires-extra]
 test = [
     "pytest >=6.2.4,<7.0.0",
-    "pytest-cov >=2.12.0,<3.0.0",
-    "pytest-asyncio >=0.14.0,<0.15.0",
+    "pytest-cov >=2.12.0,<4.0.0",
+    "pytest-asyncio >=0.14.0,<0.16.0",
     "mypy ==0.910",
     "flake8 >=3.8.3,<4.0.0",
-    "black ==20.8b1",
+    "black ==21.9b0",
     "isort >=5.0.6,<6.0.0",
     "requests >=2.24.0,<3.0.0",
-    "httpx >=0.14.0,<0.15.0",
+    "httpx >=0.14.0,<0.19.0",
     "email_validator >=1.1.1,<2.0.0",
-    "sqlalchemy >=1.3.18,<1.4.0",
+    "sqlalchemy >=1.3.18,<1.5.0",
     "peewee >=3.13.3,<4.0.0",
-    "databases[sqlite] >=0.3.2,<0.4.0",
+    "databases[sqlite] >=0.3.2,<0.6.0",
     "orjson >=3.2.1,<4.0.0",
     "ujson >=4.0.1,<5.0.0",
     "python-multipart >=0.0.5,<0.0.6",
     "aiofiles >=0.5.0,<0.8.0",
+    # TODO: try to upgrade after upgrading Starlette
     "flask >=1.1.2,<2.0.0",
     "async_exit_stack >=1.0.1,<2.0.0; python_version < '3.7'",
     "async_generator >=1.10,<2.0.0; python_version < '3.7'",
@@ -74,7 +75,7 @@ doc = [
     "mkdocs >=1.1.2,<2.0.0",
     "mkdocs-material >=7.1.9,<8.0.0",
     "mdx-include >=1.4.1,<2.0.0",
-    "mkdocs-markdownextradata-plugin >=0.1.7,<0.2.0",
+    "mkdocs-markdownextradata-plugin >=0.1.7,<0.3.0",
     "typer-cli >=0.0.12,<0.0.13",
     "pyyaml >=5.3.1,<6.0.0"
 ]
@@ -84,15 +85,19 @@ dev = [
     "autoflake >=1.3.1,<2.0.0",
     "flake8 >=3.8.3,<4.0.0",
     "uvicorn[standard] >=0.12.0,<0.16.0",
+    # TODO: remove in the next major version
     "graphene >=2.1.8,<3.0.0"
 ]
 all = [
     "requests >=2.24.0,<3.0.0",
     "aiofiles >=0.5.0,<0.8.0",
+    # TODO: try to upgrade after upgrading Starlette
     "jinja2 >=2.11.2,<3.0.0",
     "python-multipart >=0.0.5,<0.0.6",
+    # TODO: try to upgrade after upgrading Starlette
     "itsdangerous >=1.1.0,<2.0.0",
     "pyyaml >=5.3.1,<6.0.0",
+    # TODO: remove in the next major version
     "graphene >=2.1.8,<3.0.0",
     "ujson >=4.0.1,<5.0.0",
     "orjson >=3.2.1,<4.0.0",