diff --git a/Makefile b/Makefile
index 24d47199a93..953d9348b00 100644
--- a/Makefile
+++ b/Makefile
@@ -385,8 +385,8 @@ test\#%:
 
 .PHONY: coverage
 coverage:
-	grep -v '^0$$' coverage.out > coverage-bodged.out
-	grep -v '^0$$' integration.coverage.out > integration.coverage-bodged.out
+	grep '^\(mode: .*\)\|\(.*:[0-9]\+\.[0-9]\+,[0-9]\+\.[0-9]\+ [0-9]\+ [0-9]\+\)$$' coverage.out > coverage-bodged.out
+	grep '^\(mode: .*\)\|\(.*:[0-9]\+\.[0-9]\+,[0-9]\+\.[0-9]\+ [0-9]\+ [0-9]\+\)$$' integration.coverage.out > integration.coverage-bodged.out
 	GO111MODULE=on $(GO) run -mod=vendor build/gocovmerge.go integration.coverage-bodged.out coverage-bodged.out > coverage.all || (echo "gocovmerge failed"; echo "integration.coverage.out"; cat integration.coverage.out; echo "coverage.out"; cat coverage.out; exit 1)
 
 .PHONY: unit-test-coverage