diff --git a/.github/workflows/build.yml b/.github/workflows/build.yml
index 4484668b8a..77852d06d4 100644
--- a/.github/workflows/build.yml
+++ b/.github/workflows/build.yml
@@ -72,6 +72,9 @@ jobs:
     container:
       image: alpine
       options: --cap-add=SYS_PTRACE
+    env:
+      # Coverage is kind of broken in Alpine
+      SKIP_COVERAGE_HTML: 1
     steps:
       - uses: actions/checkout@v4
       - name: Set up dependencies
diff --git a/Makefile b/Makefile
index 96d141e917..bc540593e3 100644
--- a/Makefile
+++ b/Makefile
@@ -77,8 +77,10 @@ pycoverage:  ## Run the test suite, with Python code coverage
 		--cov-fail-under=90 \
 		--cov-append $(PYTEST_ARGS) \
 		tests
-	$(PYTHON) -m coverage lcov -i -o pycoverage.lcov
-	genhtml *coverage.lcov  --branch-coverage --output-directory memray-coverage $(GENHTMLOPTS)
+  if [ -z "$$SKIP_COVERAGE_HTML" ]; then \
+		$(PYTHON) -m coverage lcov -i -o pycoverage.lcov
+  	genhtml *coverage.lcov  --branch-coverage --output-directory memray-coverage $(GENHTMLOPTS); \
+  fi
 
 .PHONY: valgrind
 valgrind:  ## Run valgrind, with the correct configuration