diff --git a/sdk/storage/azblob/blockblob/chunkwriting.go b/sdk/storage/azblob/blockblob/chunkwriting.go
index 0ed98c403281..16927ecf895e 100644
--- a/sdk/storage/azblob/blockblob/chunkwriting.go
+++ b/sdk/storage/azblob/blockblob/chunkwriting.go
@@ -13,12 +13,12 @@ import (
 	"encoding/binary"
 	"errors"
 	"fmt"
-	"github.com/Azure/azure-sdk-for-go/sdk/storage/azblob/internal/shared"
 	"io"
 	"sync"
 	"sync/atomic"
 
 	"github.com/Azure/azure-sdk-for-go/sdk/internal/uuid"
+	"github.com/Azure/azure-sdk-for-go/sdk/storage/azblob/internal/shared"
 )
 
 // blockWriter provides methods to upload blocks that represent a file to a server and commit them.
@@ -181,8 +181,12 @@ func (c *copier) write(chunk copierChunk) {
 	stageBlockOptions := c.o.getStageBlockOptions()
 	_, err := c.to.StageBlock(c.ctx, chunk.id, shared.NopCloser(bytes.NewReader(chunk.buffer[:chunk.length])), stageBlockOptions)
 	if err != nil {
-		c.errCh <- fmt.Errorf("write error: %w", err)
-		return
+		select {
+		case c.errCh <- err:
+			// failed to stage block, cancel the copy
+		default:
+			// don't block the goroutine if there's a pending error
+		}
 	}
 }
 
diff --git a/sdk/storage/azblob/blockblob/chunkwriting_test.go b/sdk/storage/azblob/blockblob/chunkwriting_test.go
index afbf7c0e63da..addc3fbd97be 100644
--- a/sdk/storage/azblob/blockblob/chunkwriting_test.go
+++ b/sdk/storage/azblob/blockblob/chunkwriting_test.go
@@ -30,6 +30,7 @@ type fakeBlockWriter struct {
 	path       string
 	block      int32
 	errOnBlock int32
+	stageDelay time.Duration
 }
 
 func newFakeBlockWriter() *fakeBlockWriter {
@@ -49,7 +50,12 @@ func newFakeBlockWriter() *fakeBlockWriter {
 
 func (f *fakeBlockWriter) StageBlock(_ context.Context, blockID string, body io.ReadSeekCloser, _ *StageBlockOptions) (StageBlockResponse, error) {
 	n := atomic.AddInt32(&f.block, 1)
-	if n == f.errOnBlock {
+
+	if f.stageDelay > 0 {
+		time.Sleep(f.stageDelay)
+	}
+
+	if f.errOnBlock > -1 && n >= f.errOnBlock {
 		return StageBlockResponse{}, io.ErrNoProgress
 	}
 
@@ -192,6 +198,45 @@ func TestGetErr(t *testing.T) {
 	}
 }
 
+func TestSlowDestCopyFrom(t *testing.T) {
+	p, err := createSrcFile(_1MiB + 500*1024) //This should cause 2 reads
+	if err != nil {
+		panic(err)
+	}
+	defer func(name string) {
+		_ = os.Remove(name)
+	}(p)
+
+	from, err := os.Open(p)
+	if err != nil {
+		panic(err)
+	}
+	defer from.Close()
+
+	br := newFakeBlockWriter()
+	defer br.cleanup()
+
+	br.stageDelay = 200 * time.Millisecond
+	br.errOnBlock = 0
+
+	errs := make(chan error, 1)
+	go func() {
+		_, err := copyFromReader(context.Background(), from, br, UploadStreamOptions{})
+		errs <- err
+	}()
+
+	ctx, cancel := context.WithTimeout(context.Background(), time.Second)
+	defer cancel()
+
+	select {
+	case <-ctx.Done():
+		failMsg := "TestSlowDestCopyFrom(slow writes shouldn't cause deadlock) failed: Context expired, copy deadlocked"
+		t.Error(failMsg)
+	case <-errs:
+		return
+	}
+}
+
 func TestCopyFromReader(t *testing.T) {
 	t.Parallel()