diff --git a/.github/workflows/R-CMD-check.yaml b/.github/workflows/R-CMD-check.yaml
index 8d1feb19..184adfb8 100644
--- a/.github/workflows/R-CMD-check.yaml
+++ b/.github/workflows/R-CMD-check.yaml
@@ -36,6 +36,7 @@ jobs:
         with:
           shared-key: ${{ runner.os }}-R-CMD-Check
           cache-on-failure: true
+          save-if: ${{ github.ref == 'refs/heads/main' }}
 
       - name: Check disk space
         run: df -h
diff --git a/.github/workflows/build.yaml b/.github/workflows/build.yaml
index 561baf71..8dd8f192 100644
--- a/.github/workflows/build.yaml
+++ b/.github/workflows/build.yaml
@@ -40,6 +40,7 @@ jobs:
         with:
           shared-key: ${{ runner.os }}-build
           cache-on-failure: true
+          save-if: ${{ github.ref == 'refs/heads/main' }}
 
       - name: Run Rust formatting check
         run: cargo fmt --all -- --check
diff --git a/.github/workflows/publish.yaml b/.github/workflows/publish.yaml
index 6668f20c..5d85746a 100644
--- a/.github/workflows/publish.yaml
+++ b/.github/workflows/publish.yaml
@@ -41,6 +41,7 @@ jobs:
         with:
           shared-key: ${{ runner.os }}-publish
           cache-on-failure: true
+          save-if: ${{ github.ref == 'refs/heads/main' }}
 
       - name: Install wasm-pack
         run: cargo install wasm-pack
diff --git a/.github/workflows/python.yml b/.github/workflows/python.yml
index bd1f2e75..5f0564d0 100644
--- a/.github/workflows/python.yml
+++ b/.github/workflows/python.yml
@@ -47,6 +47,7 @@ jobs:
         with:
           shared-key: ${{ matrix.os }}-python
           cache-on-failure: true
+          save-if: ${{ github.ref == 'refs/heads/main' && matrix.python == '3.13' }}
 
       - name: Set up MSVC (Windows)
         if: runner.os == 'Windows'