diff --git a/projects/linkerd2-proxy/build.sh b/projects/linkerd2-proxy/build.sh
index 6d16e0154..228d7742f 100755
--- a/projects/linkerd2-proxy/build.sh
+++ b/projects/linkerd2-proxy/build.sh
@@ -14,10 +14,18 @@
 # limitations under the License.
 #
 ################################################################################
+
 TARGET_PATH="./fuzz/target/x86_64-unknown-linux-gnu/release"
 BASE="$SRC/linkerd2-proxy/linkerd"
 BUILD_FUZZER="cargo +nightly fuzz build --features fuzzing"
 
+# Only compile inbound if there is no coverage
+if [ $SANITIZER != "coverage" ]; then
+	cd ${BASE}/app/inbound
+	RUSTFLAGS="--cap-lints warn" ${BUILD_FUZZER}
+	cp ${TARGET_PATH}/fuzz_target_1 $OUT/fuzz_inbound
+fi
+
 cd ${BASE}/addr/
 ${BUILD_FUZZER}
 cp ${TARGET_PATH}/fuzz_target_1 $OUT/fuzz_addr
@@ -37,4 +45,6 @@ cp ${TARGET_PATH}/fuzz_target_1 $OUT/fuzz_tls
 cd ${BASE}/transport-header
 ${BUILD_FUZZER}
 cp ${TARGET_PATH}/fuzz_target_raw $OUT/fuzz_transport_raw
-cp ${TARGET_PATH}/fuzz_target_structured $OUT/fuzz_transport_structured
+if [ $SANITIZER != "coverage" ]; then
+	cp ${TARGET_PATH}/fuzz_target_structured $OUT/fuzz_transport_structured
+fi