diff --git a/.github/workflows/rust.yml b/.github/workflows/rust.yml
index b8746b806..d08c10bf2 100644
--- a/.github/workflows/rust.yml
+++ b/.github/workflows/rust.yml
@@ -254,16 +254,18 @@ jobs:
         run: cargo test --target i686-unknown-linux-gnu
 
   WASM:
-    name: WASM - stable toolchain
+    name: WASM - MSRV toolchain
     runs-on: ubuntu-latest
     strategy:
       fail-fast: false
-      # Note we do not use the recent lock file for wasm testing.
     steps:
       - name: "Checkout repo"
         uses: actions/checkout@v4
       - name: "Select toolchain"
-        uses: dtolnay/rust-toolchain@stable
+        uses: dtolnay/rust-toolchain@1.63.0
+      - name: "Set dependencies"
+        # For now we only use minimal lock
+        run: cp Cargo-minimal.lock Cargo.lock
       - name: "Run wasm script"
         run: ./contrib/wasm.sh
 
diff --git a/contrib/wasm.sh b/contrib/wasm.sh
index 3d8bd8b9b..1d1bcb077 100755
--- a/contrib/wasm.sh
+++ b/contrib/wasm.sh
@@ -8,7 +8,7 @@
 set -euox pipefail
 
 clang --version
-CARGO_TARGET_DIR=wasm cargo install --force wasm-pack
+CARGO_TARGET_DIR=wasm cargo install --locked --force wasm-pack --version "`cat wasm-pack-version`"
 printf '\n[lib]\ncrate-type = ["cdylib", "rlib"]\n' >> Cargo.toml
 CC=clang wasm-pack build
 CC=clang wasm-pack test --node
diff --git a/wasm-pack-version b/wasm-pack-version
new file mode 100644
index 000000000..c317a9189
--- /dev/null
+++ b/wasm-pack-version
@@ -0,0 +1 @@
+0.13.1