diff --git a/devtools/conda-envs/no_openeye.yaml b/devtools/conda-envs/no_openeye.yaml
index 2d925043..1a4901e0 100644
--- a/devtools/conda-envs/no_openeye.yaml
+++ b/devtools/conda-envs/no_openeye.yaml
@@ -51,6 +51,7 @@ dependencies:
   - uvicorn
   - fastapi
   - starlette =0.20 # https://github.com/openforcefield/openff-bespokefit/pull/203#issuecomment-1315936000
+  - anyio <4
   - celery
   - httpx
   - redis-server
diff --git a/devtools/conda-envs/test-env.yaml b/devtools/conda-envs/test-env.yaml
index 731850ec..d92a1ad1 100644
--- a/devtools/conda-envs/test-env.yaml
+++ b/devtools/conda-envs/test-env.yaml
@@ -53,6 +53,7 @@ dependencies:
   - uvicorn
   - fastapi
   - starlette =0.20 # https://github.com/openforcefield/openff-bespokefit/pull/203#issuecomment-1315936000
+  - anyio <4
   - celery
   - httpx
   - redis-server