diff --git a/CHANGELOG.md b/CHANGELOG.md
index 8f46c0c168..6ce02f9fac 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -16,6 +16,7 @@ We use *breaking :warning:* to mark changes that are not backward compatible (re
 
 ### Fixed
 - [#3257](https://github.com/thanos-io/thanos/pull/3257) Ruler: Prevent Ruler from crashing when using default DNS to lookup hosts that results in "No such hosts" errors.
+- [#3331](https://github.com/thanos-io/thanos/pull/3331) Disable Azure blob exception logging
 
 ## [v0.16.0](https://github.com/thanos-io/thanos/releases) - Release in progress
 
diff --git a/go.mod b/go.mod
index 87554f58f9..78c2d54090 100644
--- a/go.mod
+++ b/go.mod
@@ -3,6 +3,7 @@ module github.com/thanos-io/thanos
 require (
 	cloud.google.com/go v0.56.0
 	cloud.google.com/go/storage v1.6.0
+	github.com/Azure/azure-pipeline-go v0.2.2
 	github.com/Azure/azure-storage-blob-go v0.8.0
 	github.com/NYTimes/gziphandler v1.1.1
 	github.com/alecthomas/units v0.0.0-20190924025748-f65c72e2690d
diff --git a/pkg/objstore/azure/helpers.go b/pkg/objstore/azure/helpers.go
index 0189a49acf..a372878ac9 100644
--- a/pkg/objstore/azure/helpers.go
+++ b/pkg/objstore/azure/helpers.go
@@ -10,6 +10,7 @@ import (
 	"regexp"
 	"time"
 
+	"github.com/Azure/azure-pipeline-go/pipeline"
 	blob "github.com/Azure/azure-storage-blob-go/azblob"
 )
 
@@ -34,6 +35,14 @@ func getContainerURL(ctx context.Context, conf Config) (blob.ContainerURL, error
 	p := blob.NewPipeline(c, blob.PipelineOptions{
 		Retry:     retryOptions,
 		Telemetry: blob.TelemetryOptions{Value: "Thanos"},
+		RequestLog: blob.RequestLogOptions{
+			// Log a warning if an operation takes longer than the specified duration.
+			// (-1=no logging; 0=default 3s threshold)
+			LogWarningIfTryOverThreshold: -1,
+		},
+		Log: pipeline.LogOptions{
+			ShouldLog: nil,
+		},
 	})
 	u, err := url.Parse(fmt.Sprintf("https://%s.%s", conf.StorageAccountName, conf.Endpoint))
 	if err != nil {