diff --git a/ci/deps/actions-37-slow.yaml b/ci/deps/actions-37-slow.yaml
index 166f2237dcad3..76eb7ba5693e9 100644
--- a/ci/deps/actions-37-slow.yaml
+++ b/ci/deps/actions-37-slow.yaml
@@ -14,7 +14,7 @@ dependencies:
 
   # pandas dependencies
   - beautifulsoup4
-  - fsspec>=0.7.4
+  - fsspec>=0.7.4, <2021.6.0
   - html5lib
   - lxml
   - matplotlib
diff --git a/ci/deps/actions-38-slow.yaml b/ci/deps/actions-38-slow.yaml
index afba60e451b90..c464b30e02203 100644
--- a/ci/deps/actions-38-slow.yaml
+++ b/ci/deps/actions-38-slow.yaml
@@ -13,7 +13,7 @@ dependencies:
 
   # pandas dependencies
   - beautifulsoup4
-  - fsspec>=0.7.4
+  - fsspec>=0.7.4, <2021.6.0
   - html5lib
   - lxml
   - matplotlib
diff --git a/ci/deps/azure-windows-38.yaml b/ci/deps/azure-windows-38.yaml
index 7fdecae626f9d..70aa46e8a5851 100644
--- a/ci/deps/azure-windows-38.yaml
+++ b/ci/deps/azure-windows-38.yaml
@@ -17,7 +17,7 @@ dependencies:
   - bottleneck
   - fastparquet>=0.4.0
   - flask
-  - fsspec>=0.8.0
+  - fsspec>=0.8.0, <2021.6.0
   - matplotlib=3.1.3
   - moto>=1.3.14
   - numba