diff --git a/continuous_integration/docker/conda.txt b/continuous_integration/docker/conda.txt
index 64892c882..3849238c4 100644
--- a/continuous_integration/docker/conda.txt
+++ b/continuous_integration/docker/conda.txt
@@ -1,5 +1,5 @@
 python>=3.9
-dask==2024.1.1
+dask>=2024.1.1
 pandas>=1.4.0
 jpype1>=1.0.2
 openjdk>=8
diff --git a/continuous_integration/docker/main.dockerfile b/continuous_integration/docker/main.dockerfile
index 2a8c2ed5d..c2da576a0 100644
--- a/continuous_integration/docker/main.dockerfile
+++ b/continuous_integration/docker/main.dockerfile
@@ -16,7 +16,7 @@ RUN mamba install -y \
     # build requirements
     "maturin>=1.3,<1.4" \
     # core dependencies
-    "dask==2024.1.1" \
+    "dask>=2024.1.1" \
     "pandas>=1.4.0" \
     "fastapi>=0.92.0" \
     "httpx>=0.24.1" \
diff --git a/continuous_integration/environment-3.10.yaml b/continuous_integration/environment-3.10.yaml
index 56333e288..30fd86a8f 100644
--- a/continuous_integration/environment-3.10.yaml
+++ b/continuous_integration/environment-3.10.yaml
@@ -3,7 +3,7 @@ channels:
 - conda-forge
 dependencies:
 - c-compiler
-- dask==2024.1.1
+- dask>=2024.1.1
 - fastapi>=0.92.0
 - fugue>=0.7.3
 - httpx>=0.24.1
diff --git a/continuous_integration/environment-3.11.yaml b/continuous_integration/environment-3.11.yaml
index 046d0a3a9..fd80633a3 100644
--- a/continuous_integration/environment-3.11.yaml
+++ b/continuous_integration/environment-3.11.yaml
@@ -3,7 +3,7 @@ channels:
 - conda-forge
 dependencies:
 - c-compiler
-- dask==2024.1.1
+- dask>=2024.1.1
 - fastapi>=0.92.0
 - fugue>=0.7.3
 - httpx>=0.24.1
diff --git a/continuous_integration/environment-3.12.yaml b/continuous_integration/environment-3.12.yaml
index 6b6e15223..98b5fd583 100644
--- a/continuous_integration/environment-3.12.yaml
+++ b/continuous_integration/environment-3.12.yaml
@@ -3,7 +3,7 @@ channels:
 - conda-forge
 dependencies:
 - c-compiler
-- dask==2024.1.1
+- dask>=2024.1.1
 - fastapi>=0.92.0
 - fugue>=0.7.3
 - httpx>=0.24.1
diff --git a/continuous_integration/gpuci/environment-3.10.yaml b/continuous_integration/gpuci/environment-3.10.yaml
index 8de52bf7b..b19d47840 100644
--- a/continuous_integration/gpuci/environment-3.10.yaml
+++ b/continuous_integration/gpuci/environment-3.10.yaml
@@ -9,7 +9,7 @@ channels:
 dependencies:
 - c-compiler
 - zlib
-- dask==2024.1.1
+- dask>=2024.1.1
 - fastapi>=0.92.0
 - fugue>=0.7.3
 - httpx>=0.24.1
diff --git a/continuous_integration/gpuci/environment-3.9.yaml b/continuous_integration/gpuci/environment-3.9.yaml
index 7ceee8cfb..572463de4 100644
--- a/continuous_integration/gpuci/environment-3.9.yaml
+++ b/continuous_integration/gpuci/environment-3.9.yaml
@@ -9,7 +9,7 @@ channels:
 dependencies:
 - c-compiler
 - zlib
-- dask==2024.1.1
+- dask>=2024.1.1
 - fastapi>=0.92.0
 - fugue>=0.7.3
 - httpx>=0.24.1
diff --git a/continuous_integration/recipe/meta.yaml b/continuous_integration/recipe/meta.yaml
index 914f9da0b..cf78f71f8 100644
--- a/continuous_integration/recipe/meta.yaml
+++ b/continuous_integration/recipe/meta.yaml
@@ -32,7 +32,7 @@ requirements:
     - xz  # [linux64]
   run:
     - python
-    - dask ==2024.1.1
+    - dask >=2024.1.1
     - pandas >=1.4.0
     - fastapi >=0.92.0
     - httpx >=0.24.1
diff --git a/docs/environment.yml b/docs/environment.yml
index 98b2f0f08..13befb971 100644
--- a/docs/environment.yml
+++ b/docs/environment.yml
@@ -6,7 +6,7 @@ dependencies:
   - sphinx>=4.0.0
   - sphinx-tabs
   - dask-sphinx-theme>=2.0.3
-  - dask==2024.1.1
+  - dask>=2024.1.1
   - pandas>=1.4.0
   - fugue>=0.7.3
   # FIXME: https://github.com/fugue-project/fugue/issues/526
diff --git a/docs/requirements-docs.txt b/docs/requirements-docs.txt
index 689599446..0f121bf7a 100644
--- a/docs/requirements-docs.txt
+++ b/docs/requirements-docs.txt
@@ -1,7 +1,7 @@
 sphinx>=4.0.0
 sphinx-tabs
 dask-sphinx-theme>=3.0.0
-dask==2024.1.1
+dask>=2024.1.1
 pandas>=1.4.0
 fugue>=0.7.3
 # FIXME: https://github.com/fugue-project/fugue/issues/526
diff --git a/pyproject.toml b/pyproject.toml
index bcbd0a06e..fd0358289 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -27,8 +27,8 @@ classifiers = [
 readme = "README.md"
 requires-python = ">=3.9"
 dependencies = [
-    "dask[dataframe]==2024.1.1",
-    "distributed==2024.1.1",
+    "dask[dataframe]>=2024.1.1",
+    "distributed>=2024.1.1",
     "pandas>=1.4.0",
     "fastapi>=0.92.0",
     "httpx>=0.24.1",