diff --git a/Dockerfile.build b/Dockerfile.build
index f48a47f..5c989c1 100644
--- a/Dockerfile.build
+++ b/Dockerfile.build
@@ -30,3 +30,13 @@ RUN cargo clippy -- -D warnings
 RUN cargo build -r
 
 RUN cargo test
+
+# Install rustup and nightly toolchain for ASAN tests
+RUN curl --proto "=https" --tlsv1.2 -sSf https://sh.rustup.rs | sh -s -- -y --default-toolchain nightly && \
+    source "${HOME}"/.cargo/env && \
+    rustup component add rust-src --toolchain nightly
+
+# Run ASAN tests
+RUN source "${HOME}"/.cargo/env && \
+    TARGET=$(rustc --version --verbose | grep host | cut -d" " -f2) && \
+    RUSTFLAGS="-Z sanitizer=address" cargo +nightly test -Z build-std --target "$TARGET"