diff --git a/ci/deps/actions-37-cov.yaml b/ci/deps/actions-37-cov.yaml
index 6bdbfa769f772..fd4c05802ccd3 100644
--- a/ci/deps/actions-37-cov.yaml
+++ b/ci/deps/actions-37-cov.yaml
@@ -16,7 +16,7 @@ dependencies:
   - botocore>=1.11
   - dask
   - fastparquet>=0.4.0, <=0.5.0
-  - fsspec>=0.7.4
+  - fsspec>=0.7.4, <2021.6.0
   - gcsfs>=0.6.0
   - geopandas
   - html5lib
diff --git a/ci/deps/azure-37.yaml b/ci/deps/azure-37.yaml
index 1f9e2db71baf5..13b46b4d28828 100644
--- a/ci/deps/azure-37.yaml
+++ b/ci/deps/azure-37.yaml
@@ -14,7 +14,7 @@ dependencies:
 
   # pandas dependencies
   - botocore>=1.11
-  - fsspec>=0.7.4
+  - fsspec>=0.7.4, <2021.6.0
   - numpy=1.19
   - python-dateutil
   - nomkl
diff --git a/ci/deps/azure-windows-37.yaml b/ci/deps/azure-windows-37.yaml
index e7ac4c783b855..dd67d9a9c1177 100644
--- a/ci/deps/azure-windows-37.yaml
+++ b/ci/deps/azure-windows-37.yaml
@@ -15,7 +15,7 @@ dependencies:
   # pandas dependencies
   - beautifulsoup4
   - bottleneck
-  - fsspec>=0.8.0
+  - fsspec>=0.8.0, <2021.6.0
   - gcsfs>=0.6.0
   - html5lib
   - jinja2
diff --git a/environment.yml b/environment.yml
index 5c47d9c5fa484..ec3c31a15ee02 100644
--- a/environment.yml
+++ b/environment.yml
@@ -104,7 +104,7 @@ dependencies:
   - pyqt>=5.9.2  # pandas.read_clipboard
   - pytables>=3.5.1  # pandas.read_hdf, DataFrame.to_hdf
   - s3fs>=0.4.0  # file IO when using 's3://...' path
-  - fsspec>=0.7.4  # for generic remote file operations
+  - fsspec>=0.7.4, <2021.6.0  # for generic remote file operations
   - gcsfs>=0.6.0  # file IO when using 'gcs://...' path
   - sqlalchemy  # pandas.read_sql, DataFrame.to_sql
   - xarray  # DataFrame.to_xarray
diff --git a/requirements-dev.txt b/requirements-dev.txt
index 33073cf953729..78aca0913b006 100644
--- a/requirements-dev.txt
+++ b/requirements-dev.txt
@@ -68,7 +68,7 @@ python-snappy
 pyqt5>=5.9.2
 tables>=3.5.1
 s3fs>=0.4.0
-fsspec>=0.7.4
+fsspec>=0.7.4, <2021.6.0
 gcsfs>=0.6.0
 sqlalchemy
 xarray