diff --git a/.github/workflows/main.yml b/.github/workflows/main.yml
index 970e7401..43c0b0f5 100644
--- a/.github/workflows/main.yml
+++ b/.github/workflows/main.yml
@@ -21,7 +21,7 @@ jobs:
       matrix:
         # Test all supported versions on Ubuntu:
         os: [ubuntu-latest]
-        python: ["3.9", "3.10", "3.11", "3.12"]
+        python: ["3.9", "3.10", "3.11", "3.12", "3.13"]
         experimental: [false]
         build: ['']
         include:
@@ -29,8 +29,12 @@ jobs:
           - os: ubuntu-latest
             python: "3.13-dev"
             experimental: true
+            build: 'free-threading'
           - os: ubuntu-latest
-            python: "3.13-dev"
+            python: "3.14-dev"
+            experimental: true
+          - os: ubuntu-latest
+            python: "3.14-dev"
             experimental: true
             build: 'free-threading'
           # Also test PyPy, macOS, and Windows:
@@ -41,10 +45,10 @@ jobs:
             python: pypy-3.9
             experimental: false
           - os: macos-latest
-            python: "3.12"
+            python: "3.13"
             experimental: true
           - os: windows-latest
-            python: "3.12"
+            python: "3.13"
             experimental: true
     steps:
     - uses: actions/checkout@v4
diff --git a/doc/changelog.rst b/doc/changelog.rst
index 3611e3c5..b0be294d 100644
--- a/doc/changelog.rst
+++ b/doc/changelog.rst
@@ -1,6 +1,8 @@
 Changelog
 =========
 
+* Bump greenlet to 3.1.0 for compatibility with 3.13
+
 Version 1.11.0 (2024-03-09)
 --------------
 * Add a --same-loops option to the run command to use the exact same number of
diff --git a/pyperformance/data-files/benchmarks/bm_sqlalchemy_declarative/requirements.txt b/pyperformance/data-files/benchmarks/bm_sqlalchemy_declarative/requirements.txt
index 9578d705..7854731c 100644
--- a/pyperformance/data-files/benchmarks/bm_sqlalchemy_declarative/requirements.txt
+++ b/pyperformance/data-files/benchmarks/bm_sqlalchemy_declarative/requirements.txt
@@ -1,2 +1,2 @@
-greenlet==3.0.0rc3
+greenlet==3.1.0
 sqlalchemy==1.4.19
diff --git a/pyperformance/data-files/benchmarks/bm_sqlalchemy_imperative/requirements.txt b/pyperformance/data-files/benchmarks/bm_sqlalchemy_imperative/requirements.txt
index 9578d705..7854731c 100644
--- a/pyperformance/data-files/benchmarks/bm_sqlalchemy_imperative/requirements.txt
+++ b/pyperformance/data-files/benchmarks/bm_sqlalchemy_imperative/requirements.txt
@@ -1,2 +1,2 @@
-greenlet==3.0.0rc3
+greenlet==3.1.0
 sqlalchemy==1.4.19