diff --git a/web/docker/Dockerfile b/web/docker/Dockerfile
index 59a950d6d67c..1f2797972708 100644
--- a/web/docker/Dockerfile
+++ b/web/docker/Dockerfile
@@ -6,9 +6,9 @@ FROM node:22
 
 # Installing wasm-opt from GitHub:
 # Keep the version number in sync with the ones in the Actions workflows!
-RUN wget --progress=:giga https://github.com/WebAssembly/binaryen/releases/download/version_121/binaryen-version_121-x86_64-linux.tar.gz
-RUN tar xzf binaryen-version_121-x86_64-linux.tar.gz binaryen-version_121/bin/wasm-opt
-RUN mv binaryen-version_121/bin/wasm-opt /usr/local/bin
+RUN wget --progress=:giga https://github.com/WebAssembly/binaryen/releases/download/version_121/binaryen-version_121-x86_64-linux.tar.gz -O- | \
+    tar xzf - --wildcards "*wasm-opt" --strip-components=2 && \
+    mv wasm-opt /usr/local/bin
 
 # Installing Rust using rustup:
 RUN wget 'https://sh.rustup.rs' --quiet -O- | sh -s -- -y --profile minimal --target wasm32-unknown-unknown