diff --git a/tsdb/wlog/checkpoint_test.go b/tsdb/wlog/checkpoint_test.go
index 7a0687aedc..90c1035229 100644
--- a/tsdb/wlog/checkpoint_test.go
+++ b/tsdb/wlog/checkpoint_test.go
@@ -113,6 +113,7 @@ func TestDeleteCheckpoints(t *testing.T) {
 }
 
 func TestCheckpoint(t *testing.T) {
+	t.Parallel()
 	makeHistogram := func(i int) *histogram.Histogram {
 		return &histogram.Histogram{
 			Count:         5 + uint64(i*4),
diff --git a/tsdb/wlog/reader_test.go b/tsdb/wlog/reader_test.go
index 0cbe882844..7d63c00013 100644
--- a/tsdb/wlog/reader_test.go
+++ b/tsdb/wlog/reader_test.go
@@ -314,6 +314,7 @@ func allSegments(dir string) (io.ReadCloser, error) {
 }
 
 func TestReaderFuzz(t *testing.T) {
+	t.Parallel()
 	for name, fn := range readerConstructors {
 		for _, compress := range compression.Types() {
 			t.Run(fmt.Sprintf("%s,compress=%s", name, compress), func(t *testing.T) {
@@ -353,6 +354,7 @@ func TestReaderFuzz(t *testing.T) {
 }
 
 func TestReaderFuzz_Live(t *testing.T) {
+	t.Parallel()
 	logger := promslog.NewNopLogger()
 	for _, compress := range compression.Types() {
 		t.Run(fmt.Sprintf("compress=%s", compress), func(t *testing.T) {
diff --git a/tsdb/wlog/watcher_test.go b/tsdb/wlog/watcher_test.go
index 5ea4ee151d..4b8b408edc 100644
--- a/tsdb/wlog/watcher_test.go
+++ b/tsdb/wlog/watcher_test.go
@@ -443,6 +443,7 @@ func TestReadToEndWithCheckpoint(t *testing.T) {
 }
 
 func TestReadCheckpoint(t *testing.T) {
+	t.Parallel()
 	pageSize := 32 * 1024
 	const seriesCount = 10
 	const samplesCount = 250
@@ -677,6 +678,7 @@ func TestCheckpointSeriesReset(t *testing.T) {
 }
 
 func TestRun_StartupTime(t *testing.T) {
+	t.Parallel()
 	const pageSize = 32 * 1024
 	const segments = 10
 	const seriesCount = 20
diff --git a/tsdb/wlog/wlog_test.go b/tsdb/wlog/wlog_test.go
index 2e73542508..758c4da4f4 100644
--- a/tsdb/wlog/wlog_test.go
+++ b/tsdb/wlog/wlog_test.go
@@ -369,6 +369,7 @@ func TestSegmentMetric(t *testing.T) {
 }
 
 func TestCompression(t *testing.T) {
+	t.Parallel()
 	bootstrap := func(compressed compression.Type) string {
 		const (
 			segmentSize = pageSize