diff --git a/cmd/pkgsite/main_test.go b/cmd/pkgsite/main_test.go
index deac8004e..704a425e5 100644
--- a/cmd/pkgsite/main_test.go
+++ b/cmd/pkgsite/main_test.go
@@ -17,6 +17,7 @@ import (
 	"github.com/google/go-cmp/cmp"
 	"golang.org/x/net/html"
 	"golang.org/x/pkgsite/internal/proxy/proxytest"
+	"golang.org/x/pkgsite/internal/testenv"
 	"golang.org/x/pkgsite/internal/testing/htmlcheck"
 	"golang.org/x/pkgsite/internal/testing/testhelper"
 )
@@ -33,6 +34,8 @@ var (
 )
 
 func TestServer(t *testing.T) {
+	testenv.MustHaveExecPath(t, "go") // for local modules
+
 	repoPath := func(fn string) string { return filepath.Join("..", "..", fn) }
 
 	abs := func(dir string) string {
diff --git a/internal/fetch/getters_test.go b/internal/fetch/getters_test.go
index 77fe56ba0..366bda3da 100644
--- a/internal/fetch/getters_test.go
+++ b/internal/fetch/getters_test.go
@@ -17,6 +17,7 @@ import (
 	"github.com/google/go-cmp/cmp"
 	"golang.org/x/pkgsite/internal/derrors"
 	"golang.org/x/pkgsite/internal/proxy"
+	"golang.org/x/pkgsite/internal/testenv"
 	"golang.org/x/pkgsite/internal/testing/testhelper"
 	"golang.org/x/pkgsite/internal/version"
 )
@@ -64,6 +65,8 @@ const Log = 1
 `
 
 func TestGoPackagesModuleGetter(t *testing.T) {
+	testenv.MustHaveExecPath(t, "go")
+
 	modulePaths := map[string]string{ // dir -> module path
 		"foo": "foo.com/foo",
 		"bar": "bar.com/bar",
@@ -156,6 +159,8 @@ func TestGoPackagesModuleGetter(t *testing.T) {
 }
 
 func TestGoPackagesModuleGetter_Invalidation(t *testing.T) {
+	testenv.MustHaveExecPath(t, "go")
+
 	ctx := context.Background()
 
 	tempDir, _ := testhelper.WriteTxtarToTempDir(t, multiModule)
diff --git a/internal/fetchdatasource/fetchdatasource_test.go b/internal/fetchdatasource/fetchdatasource_test.go
index d913ad781..ae14bf60c 100644
--- a/internal/fetchdatasource/fetchdatasource_test.go
+++ b/internal/fetchdatasource/fetchdatasource_test.go
@@ -32,15 +32,11 @@ import (
 
 var (
 	defaultTestModules []*proxytest.Module
-	localGetters       []fetch.ModuleGetter
 )
 
 func TestMain(m *testing.M) {
 	dochtml.LoadTemplates(template.TrustedFSFromTrustedSource(template.TrustedSourceFromConstant("../../static")))
 	defaultTestModules = proxytest.LoadTestModules("../proxy/testdata")
-	var cleanup func()
-	localGetters, cleanup = buildLocalGetters()
-	defer cleanup()
 	licenses.OmitExceptions = true
 	os.Exit(m.Run())
 }
@@ -117,6 +113,7 @@ func buildLocalGetters() ([]fetch.ModuleGetter, func()) {
 
 func setup(t *testing.T, testModules []*proxytest.Module, bypassLicenseCheck bool) (context.Context, *FetchDataSource, func()) {
 	t.Helper()
+	testenv.MustHaveExecPath(t, "go") // for the go packages module getter.
 	ctx, cancel := context.WithCancel(context.Background())
 
 	var client *proxy.Client
@@ -125,7 +122,7 @@ func setup(t *testing.T, testModules []*proxytest.Module, bypassLicenseCheck boo
 		client, teardownProxy = proxytest.SetupTestClient(t, testModules)
 	}
 
-	getters := localGetters
+	getters, cleanup := buildLocalGetters()
 	if testModules != nil {
 		getters = append(getters, fetch.NewProxyModuleGetter(client, source.NewClientForTesting()))
 	}
@@ -135,6 +132,7 @@ func setup(t *testing.T, testModules []*proxytest.Module, bypassLicenseCheck boo
 			ProxyClientForLatest: client,
 			BypassLicenseCheck:   bypassLicenseCheck,
 		}.New(), func() {
+			cleanup()
 			teardownProxy()
 			cancel()
 		}
diff --git a/internal/source/source_test.go b/internal/source/source_test.go
index 5343ae836..d9276fcfe 100644
--- a/internal/source/source_test.go
+++ b/internal/source/source_test.go
@@ -13,6 +13,7 @@ import (
 	"net/http"
 	"os"
 	"path/filepath"
+	"runtime"
 	"strings"
 	"testing"
 
@@ -489,6 +490,9 @@ func TestNewStdlibInfo(t *testing.T) {
 }
 
 func newReplayClient(t *testing.T, record bool) (*http.Client, func()) {
+	if runtime.GOOS == "js" || runtime.GOOS == "wasip1" {
+		t.Skipf("skipping test: see issue #59718: listen on localhost fails on %s", runtime.GOOS)
+	}
 	replayFilePath := filepath.Join("testdata", t.Name()+".replay")
 	if record {
 		httpreplay.DebugHeaders()