diff --git a/backend/azureblob/azureblob.go b/backend/azureblob/azureblob.go
index b18a2460b..dc4b0cb1e 100644
--- a/backend/azureblob/azureblob.go
+++ b/backend/azureblob/azureblob.go
@@ -49,6 +49,7 @@ const (
 	storageDefaultBaseURL = "blob.core.windows.net"
 	defaultChunkSize      = 4 * fs.MebiByte
 	maxChunkSize          = 100 * fs.MebiByte
+	uploadConcurrency     = 4
 	defaultAccessTier     = azblob.AccessTierNone
 	maxTryTimeout         = time.Hour * 24 * 365 //max time of an azure web request response window (whether or not data is flowing)
 	// Default storage account, key and blob endpoint for emulator support,
@@ -1492,6 +1493,48 @@ func increment(xs []byte) {
 	}
 }
 
+// poolWrapper wraps a pool.Pool as an azblob.TransferManager
+type poolWrapper struct {
+	pool     *pool.Pool
+	bufToken chan struct{}
+	runToken chan struct{}
+}
+
+// newPoolWrapper creates an azblob.TransferManager that will use a
+// pool.Pool with maximum concurrency as specified.
+func (f *Fs) newPoolWrapper(concurrency int) azblob.TransferManager {
+	return &poolWrapper{
+		pool:     f.pool,
+		bufToken: make(chan struct{}, concurrency),
+		runToken: make(chan struct{}, concurrency),
+	}
+}
+
+// Get implements TransferManager.Get().
+func (pw *poolWrapper) Get() []byte {
+	pw.bufToken <- struct{}{}
+	return pw.pool.Get()
+}
+
+// Put implements TransferManager.Put().
+func (pw *poolWrapper) Put(b []byte) {
+	pw.pool.Put(b)
+	<-pw.bufToken
+}
+
+// Run implements TransferManager.Run().
+func (pw *poolWrapper) Run(f func()) {
+	pw.runToken <- struct{}{}
+	go func() {
+		f()
+		<-pw.runToken
+	}()
+}
+
+// Close implements TransferManager.Close().
+func (pw *poolWrapper) Close() {
+}
+
 // Update the object with the contents of the io.Reader, modTime and size
 //
 // The new object may have been created if an error is returned
@@ -1538,9 +1581,10 @@ func (o *Object) Update(ctx context.Context, in io.Reader, src fs.ObjectInfo, op
 
 	putBlobOptions := azblob.UploadStreamToBlockBlobOptions{
 		BufferSize:      int(o.fs.opt.ChunkSize),
-		MaxBuffers:      4,
+		MaxBuffers:      uploadConcurrency,
 		Metadata:        o.meta,
 		BlobHTTPHeaders: httpHeaders,
+		TransferManager: o.fs.newPoolWrapper(uploadConcurrency),
 	}
 
 	// Don't retry, return a retry error instead
diff --git a/go.mod b/go.mod
index 5a8b12a74..dcf1d9335 100644
--- a/go.mod
+++ b/go.mod
@@ -6,7 +6,7 @@ require (
 	bazil.org/fuse v0.0.0-20200524192727-fb710f7dfd05
 	cloud.google.com/go v0.70.0 // indirect
 	github.com/Azure/azure-pipeline-go v0.2.3
-	github.com/Azure/azure-storage-blob-go v0.12.0
+	github.com/Azure/azure-storage-blob-go v0.13.0
 	github.com/Azure/go-autorest/autorest/adal v0.9.8
 	github.com/Unknwon/goconfig v0.0.0-20200908083735-df7de6a44db8
 	github.com/a8m/tree v0.0.0-20201026183218-fce18e2a750e
diff --git a/go.sum b/go.sum
index ab4aedaf8..ec889127b 100644
--- a/go.sum
+++ b/go.sum
@@ -41,6 +41,8 @@ github.com/Azure/azure-pipeline-go v0.2.3 h1:7U9HBg1JFK3jHl5qmo4CTZKFTVgMwdFHMVt
 github.com/Azure/azure-pipeline-go v0.2.3/go.mod h1:x841ezTBIMG6O3lAcl8ATHnsOPVl2bqk7S3ta6S6u4k=
 github.com/Azure/azure-storage-blob-go v0.12.0 h1:7bFXA1QB+lOK2/ASWHhp6/vnxjaeeZq6t8w1Jyp0Iaw=
 github.com/Azure/azure-storage-blob-go v0.12.0/go.mod h1:A0u4VjtpgZJ7Y7um/+ix2DHBuEKFC6sEIlj0xc13a4Q=
+github.com/Azure/azure-storage-blob-go v0.13.0 h1:lgWHvFh+UYBNVQLFHXkvul2f6yOPA9PIH82RTG2cSwc=
+github.com/Azure/azure-storage-blob-go v0.13.0/go.mod h1:pA9kNqtjUeQF2zOSu4s//nUdBD+e64lEuc4sVnuOfNs=
 github.com/Azure/go-autorest v14.2.0+incompatible h1:V5VMDjClD3GiElqLWO7mz2MxNAK/vTfRHdAubSIPRgs=
 github.com/Azure/go-autorest v14.2.0+incompatible/go.mod h1:r+4oMnoxhatjLLJ6zxSWATqVooLgysK6ZNox3g/xq24=
 github.com/Azure/go-autorest/autorest/adal v0.9.2 h1:Aze/GQeAN1RRbGmnUJvUj+tFGBzFdIg3293/A9rbxC4=