diff --git a/cmd/promtool/backfill.go b/cmd/promtool/backfill.go
index f04a76b0a5..e7a9a7f18a 100644
--- a/cmd/promtool/backfill.go
+++ b/cmd/promtool/backfill.go
@@ -27,7 +27,6 @@ import (
 	"github.com/prometheus/prometheus/model/labels"
 	"github.com/prometheus/prometheus/model/textparse"
 	"github.com/prometheus/prometheus/tsdb"
-	tsdb_errors "github.com/prometheus/prometheus/tsdb/errors"
 )
 
 func getMinAndMaxTimestamps(p textparse.Parser) (int64, int64, error) {
@@ -94,7 +93,7 @@ func createBlocks(input []byte, mint, maxt, maxBlockDuration int64, maxSamplesIn
 		return err
 	}
 	defer func() {
-		returnErr = tsdb_errors.NewMulti(returnErr, db.Close()).Err()
+		returnErr = errors.Join(returnErr, db.Close())
 	}()
 
 	var (
@@ -125,7 +124,7 @@ func createBlocks(input []byte, mint, maxt, maxBlockDuration int64, maxSamplesIn
 				return fmt.Errorf("block writer: %w", err)
 			}
 			defer func() {
-				err = tsdb_errors.NewMulti(err, w.Close()).Err()
+				err = errors.Join(err, w.Close())
 			}()
 
 			ctx := context.Background()
diff --git a/cmd/promtool/rules.go b/cmd/promtool/rules.go
index 3960206f6b..bb45178e9c 100644
--- a/cmd/promtool/rules.go
+++ b/cmd/promtool/rules.go
@@ -15,6 +15,7 @@ package main
 
 import (
 	"context"
+	"errors"
 	"fmt"
 	"log/slog"
 	"time"
@@ -28,7 +29,6 @@ import (
 	"github.com/prometheus/prometheus/rules"
 	"github.com/prometheus/prometheus/storage"
 	"github.com/prometheus/prometheus/tsdb"
-	tsdb_errors "github.com/prometheus/prometheus/tsdb/errors"
 )
 
 const maxSamplesInMemory = 5000
@@ -143,7 +143,7 @@ func (importer *ruleImporter) importRule(ctx context.Context, ruleExpr, ruleName
 		var closed bool
 		defer func() {
 			if !closed {
-				err = tsdb_errors.NewMulti(err, w.Close()).Err()
+				err = errors.Join(err, w.Close())
 			}
 		}()
 		app := newMultipleAppender(ctx, w)
@@ -181,7 +181,7 @@ func (importer *ruleImporter) importRule(ctx context.Context, ruleExpr, ruleName
 		if err := app.flushAndCommit(ctx); err != nil {
 			return fmt.Errorf("flush and commit: %w", err)
 		}
-		err = tsdb_errors.NewMulti(err, w.Close()).Err()
+		err = errors.Join(err, w.Close())
 		closed = true
 	}
 
diff --git a/cmd/promtool/tsdb.go b/cmd/promtool/tsdb.go
index 9ccd1da714..d0016ec0aa 100644
--- a/cmd/promtool/tsdb.go
+++ b/cmd/promtool/tsdb.go
@@ -43,7 +43,6 @@ import (
 	"github.com/prometheus/prometheus/tsdb"
 	"github.com/prometheus/prometheus/tsdb/chunkenc"
 	"github.com/prometheus/prometheus/tsdb/chunks"
-	tsdb_errors "github.com/prometheus/prometheus/tsdb/errors"
 	"github.com/prometheus/prometheus/tsdb/fileutil"
 	"github.com/prometheus/prometheus/tsdb/index"
 )
@@ -339,7 +338,7 @@ func listBlocks(path string, humanReadable bool) error {
 		return err
 	}
 	defer func() {
-		err = tsdb_errors.NewMulti(err, db.Close()).Err()
+		err = errors.Join(err, db.Close())
 	}()
 	blocks, err := db.Blocks()
 	if err != nil {
@@ -425,7 +424,7 @@ func analyzeBlock(ctx context.Context, path, blockID string, limit int, runExten
 		return err
 	}
 	defer func() {
-		err = tsdb_errors.NewMulti(err, db.Close()).Err()
+		err = errors.Join(err, db.Close())
 	}()
 
 	meta := block.Meta()
@@ -625,7 +624,7 @@ func analyzeCompaction(ctx context.Context, block tsdb.BlockReader, indexr tsdb.
 		return err
 	}
 	defer func() {
-		err = tsdb_errors.NewMulti(err, chunkr.Close()).Err()
+		err = errors.Join(err, chunkr.Close())
 	}()
 
 	totalChunks := 0
@@ -713,7 +712,7 @@ func dumpTSDBData(ctx context.Context, dbDir, sandboxDirRoot string, mint, maxt
 		return err
 	}
 	defer func() {
-		err = tsdb_errors.NewMulti(err, db.Close()).Err()
+		err = errors.Join(err, db.Close())
 	}()
 	q, err := db.Querier(mint, maxt)
 	if err != nil {
@@ -743,7 +742,7 @@ func dumpTSDBData(ctx context.Context, dbDir, sandboxDirRoot string, mint, maxt
 	}
 
 	if ws := ss.Warnings(); len(ws) > 0 {
-		return tsdb_errors.NewMulti(ws.AsErrors()...).Err()
+		return errors.Join(ws.AsErrors()...)
 	}
 
 	if ss.Err() != nil {