diff --git a/continuous_integration/environment-3.10.yaml b/continuous_integration/environment-3.10.yaml
index c1f45fc7f2..6098096e86 100644
--- a/continuous_integration/environment-3.10.yaml
+++ b/continuous_integration/environment-3.10.yaml
@@ -45,7 +45,7 @@ dependencies:
   - scikit-learn
   - scipy
   - sortedcollections
-  - tblib
+  - tblib !=3.2.0,!=3.2.1
   - toolz
   - torchvision  # Only tested here
   - tornado
diff --git a/continuous_integration/environment-3.11.yaml b/continuous_integration/environment-3.11.yaml
index 82bf620a24..c2376a036c 100644
--- a/continuous_integration/environment-3.11.yaml
+++ b/continuous_integration/environment-3.11.yaml
@@ -39,7 +39,7 @@ dependencies:
   - scikit-learn
   - scipy
   - sortedcollections
-  - tblib
+  - tblib !=3.2.0,!=3.2.1
   - toolz
   - tornado
   - zict  # overridden by git tip below
diff --git a/continuous_integration/environment-3.12.yaml b/continuous_integration/environment-3.12.yaml
index db95ec1c49..efbb1c4397 100644
--- a/continuous_integration/environment-3.12.yaml
+++ b/continuous_integration/environment-3.12.yaml
@@ -39,7 +39,7 @@ dependencies:
   - scikit-learn
   - scipy
   - sortedcollections
-  - tblib
+  - tblib !=3.2.0,!=3.2.1
   - toolz
   - tornado
   - zict  # overridden by git tip below
diff --git a/continuous_integration/environment-3.13.yaml b/continuous_integration/environment-3.13.yaml
index 4180028926..a3ef5d7451 100644
--- a/continuous_integration/environment-3.13.yaml
+++ b/continuous_integration/environment-3.13.yaml
@@ -38,7 +38,7 @@ dependencies:
   - scikit-learn
   - scipy
   - sortedcollections
-  - tblib
+  - tblib !=3.2.0,!=3.2.1
   - toolz
   - tornado
   - zict  # overridden by git tip below
diff --git a/continuous_integration/recipes/distributed/meta.yaml b/continuous_integration/recipes/distributed/meta.yaml
index b328d8f22a..7fa5a531ca 100644
--- a/continuous_integration/recipes/distributed/meta.yaml
+++ b/continuous_integration/recipes/distributed/meta.yaml
@@ -43,7 +43,7 @@ requirements:
     - psutil >=5.8.0
     - pyyaml >=5.4.1
     - sortedcontainers >=2.0.5
-    - tblib >=1.6.0
+    - tblib >=1.6.0,!=3.2.0,!=3.2.1
     - toolz >=0.10.0
     - tornado >=6.2.0
     - urllib3 >=1.26.5
diff --git a/pyproject.toml b/pyproject.toml
index d567535bc0..ade5d6e9b7 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -36,7 +36,7 @@ dependencies = [
     "psutil >= 5.8.0",
     "pyyaml >= 5.4.1",
     "sortedcontainers >= 2.0.5",
-    "tblib >= 1.6.0",
+    "tblib >= 1.6.0,!=3.2.0,!=3.2.1",
     "toolz >= 0.11.2",
     "tornado >= 6.2.0",
     "urllib3 >= 1.26.5",