diff --git a/services/identity/Dockerfile b/services/identity/Dockerfile
index a1b448dd9..72ecc10cf 100644
--- a/services/identity/Dockerfile
+++ b/services/identity/Dockerfile
@@ -1,28 +1,28 @@
 FROM rust:1.57
 
 # Create a new user comm and use it to run subsequent commands
 RUN useradd -m comm
 USER comm
 
+# The build.rs script depends on rustfmt
+RUN rustup component add rustfmt
+
 RUN mkdir -p /home/comm/app/identity
 WORKDIR /home/comm/app/identity
 RUN cargo init --bin
 
 COPY services/identity/Cargo.toml services/identity/Cargo.lock ./
 
 # Cache build dependencies in a new layer
 RUN cargo build --release
 RUN rm src/*.rs
 
 COPY services/identity .
 
 # Remove the previously-built binary so that only the application itself is
 # rebuilt
 RUN rm ./target/release/deps/identity*
 
-# The build.rs script depends on rustfmt
-RUN rustup component add rustfmt
-
 RUN cargo build --release
 
 CMD ["./target/release/identity"]