diff --git a/conda/environments/cudf_dev_cuda11.0.yml b/conda/environments/cudf_dev_cuda11.0.yml
index 581fcdfc3fc..44396715e02 100644
--- a/conda/environments/cudf_dev_cuda11.0.yml
+++ b/conda/environments/cudf_dev_cuda11.0.yml
@@ -41,8 +41,8 @@ dependencies:
   - mypy=0.782
   - typing_extensions
   - pre_commit
-  - dask>=2021.4.0,<=2021.5.1
-  - distributed>=2.22.0,<=2021.5.1
+  - dask>=2021.6.0
+  - distributed>=2021.6.0
   - streamz
   - dlpack>=0.5,<0.6.0a0
   - arrow-cpp=1.0.1
diff --git a/conda/environments/cudf_dev_cuda11.2.yml b/conda/environments/cudf_dev_cuda11.2.yml
index 6e3e2373492..8d88fb3d583 100644
--- a/conda/environments/cudf_dev_cuda11.2.yml
+++ b/conda/environments/cudf_dev_cuda11.2.yml
@@ -41,8 +41,8 @@ dependencies:
   - mypy=0.782
   - typing_extensions
   - pre_commit
-  - dask>=2021.4.0,<=2021.5.1
-  - distributed>=2.22.0,<=2021.5.1
+  - dask>=2021.6.0
+  - distributed>=2021.6.0
   - streamz
   - dlpack>=0.5,<0.6.0a0
   - arrow-cpp=1.0.1
diff --git a/conda/recipes/custreamz/meta.yaml b/conda/recipes/custreamz/meta.yaml
index 34b83bb1492..158e34684b4 100644
--- a/conda/recipes/custreamz/meta.yaml
+++ b/conda/recipes/custreamz/meta.yaml
@@ -31,8 +31,8 @@ requirements:
     - python
     - streamz 
     - cudf {{ version }}
-    - dask>=2021.4.0,<=2021.5.1
-    - distributed>=2.22.0,<=2021.5.1
+    - dask>=2021.6.0
+    - distributed>=2021.6.0
     - python-confluent-kafka
     - cudf_kafka {{ version }}
 
diff --git a/conda/recipes/dask-cudf/meta.yaml b/conda/recipes/dask-cudf/meta.yaml
index 11c3634d2aa..216acb7e068 100644
--- a/conda/recipes/dask-cudf/meta.yaml
+++ b/conda/recipes/dask-cudf/meta.yaml
@@ -26,13 +26,13 @@ requirements:
   host:
     - python
     - cudf {{ version }}
-    - dask>=2021.4.0,<=2021.5.1
-    - distributed>=2.22.0,<=2021.5.1
+    - dask>=2021.6.0
+    - distributed>=2021.6.0
   run:
     - python
     - cudf {{ version }}
-    - dask>=2021.4.0,<=2021.5.1
-    - distributed>=2.22.0,<=2021.5.1
+    - dask>=2021.6.0
+    - distributed>=2021.6.0
   
 test:
   requires:
diff --git a/python/custreamz/dev_requirements.txt b/python/custreamz/dev_requirements.txt
index 068d45a9401..db1a6fe2e82 100644
--- a/python/custreamz/dev_requirements.txt
+++ b/python/custreamz/dev_requirements.txt
@@ -3,8 +3,8 @@
 flake8==3.8.3
 black==19.10b0
 isort==5.0.7
-dask>=2021.4.0,<=2021.5.1
-distributed>=2.22.0,<=2021.5.1
+dask>=2021.6.0
+distributed>=2021.6.0
 streamz
 python-confluent-kafka
 pytest
diff --git a/python/dask_cudf/dev_requirements.txt b/python/dask_cudf/dev_requirements.txt
index 5b7da3e524d..adaabad5f2f 100644
--- a/python/dask_cudf/dev_requirements.txt
+++ b/python/dask_cudf/dev_requirements.txt
@@ -1,7 +1,7 @@
 # Copyright (c) 2021, NVIDIA CORPORATION.
 
-dask>=2021.4.0,<=2021.5.1
-distributed>=2.22.0,<=2021.5.1
+dask>=2021.6.0
+distributed>=2021.6.0
 fsspec>=0.6.0
 numba>=0.53.1
 numpy
diff --git a/python/dask_cudf/setup.py b/python/dask_cudf/setup.py
index f9cd37a1987..a714dd98904 100644
--- a/python/dask_cudf/setup.py
+++ b/python/dask_cudf/setup.py
@@ -10,8 +10,8 @@
 
 install_requires = [
     "cudf",
-    "dask>=2021.4.0,<=2021.5.1",
-    "distributed>=2.22.0,<=2021.5.1",
+    "dask>=2021.6.0",
+    "distributed>=2021.6.0",
     "fsspec>=0.6.0",
     "numpy",
     "pandas>=1.0,<1.3.0dev0",
@@ -23,8 +23,8 @@
         "pandas>=1.0,<1.3.0dev0",
         "pytest",
         "numba>=0.53.1",
-        "dask>=2021.4.0,<=2021.5.1",
-        "distributed>=2.22.0,<=2021.5.1",
+        "dask>=2021.6.0",
+        "distributed>=2021.6.0",
     ]
 }