diff --git a/ci/deps/actions-37-db.yaml b/ci/deps/actions-37-db.yaml
index e568f8615a8df..a9e4113bf9d18 100644
--- a/ci/deps/actions-37-db.yaml
+++ b/ci/deps/actions-37-db.yaml
@@ -16,7 +16,7 @@ dependencies:
   - botocore>=1.11
   - dask
   - fastparquet>=0.4.0
-  - fsspec>=0.7.4
+  - fsspec>=0.7.4, <2021.6.0
   - gcsfs>=0.6.0
   - geopandas
   - html5lib
diff --git a/ci/deps/actions-37.yaml b/ci/deps/actions-37.yaml
index 0effe6f80df86..2272f8470e209 100644
--- a/ci/deps/actions-37.yaml
+++ b/ci/deps/actions-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 5cbc029f8c03d..4df55813ea21c 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 788b88ef16ad6..2c06c321fdbc4 100644
--- a/environment.yml
+++ b/environment.yml
@@ -106,7 +106,7 @@ 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 332059341df48..a0d4c8e02acf6 100644
--- a/requirements-dev.txt
+++ b/requirements-dev.txt
@@ -70,7 +70,7 @@ 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