diff --git a/src/test/run-make/coverage-reports/Makefile b/src/test/run-make/coverage-reports/Makefile
index 6fc2a6bada9..407992c9f43 100644
--- a/src/test/run-make/coverage-reports/Makefile
+++ b/src/test/run-make/coverage-reports/Makefile
@@ -1,6 +1,11 @@
 # needs-profiler-support
 # ignore-windows-gnu
 
+# FIXME(pietroalbini): this test currently does not work on cross-compiled
+# targets because remote-test is not capable of sending back the *.profraw
+# files generated by the LLVM instrumentation.
+# ignore-cross-compile
+
 # Rust coverage maps support LLVM Coverage Mapping Format versions 5 and 6,
 # corresponding with LLVM versions 12 and 13, respectively.
 # When upgrading LLVM versions, consider whether to enforce a minimum LLVM
@@ -81,13 +86,13 @@ include clear_expected_if_blessed
 	# Compile the test library with coverage instrumentation
 	$(RUSTC) $(SOURCEDIR)/lib/$@.rs \
 			$$( sed -n 's/^\/\/ compile-flags: \([^#]*\).*/\1/p' $(SOURCEDIR)/lib/$@.rs ) \
-			--crate-type rlib -Cinstrument-coverage
+			--crate-type rlib -Cinstrument-coverage --target $(TARGET)
 
 %: $(SOURCEDIR)/%.rs
 	# Compile the test program with coverage instrumentation
 	$(RUSTC) $(SOURCEDIR)/$@.rs \
 			$$( sed -n 's/^\/\/ compile-flags: \([^#]*\).*/\1/p' $(SOURCEDIR)/$@.rs ) \
-			-L "$(TMPDIR)" -Cinstrument-coverage
+			-L "$(TMPDIR)" -Cinstrument-coverage --target $(TARGET)
 
 	# Run it in order to generate some profiling data,
 	# with `LLVM_PROFILE_FILE=<profdata_file>` environment variable set to