diff --git a/pkg/local_object_storage/blobstor/delete.go b/pkg/local_object_storage/blobstor/delete.go
deleted file mode 100644
index a7123148b..000000000
--- a/pkg/local_object_storage/blobstor/delete.go
+++ /dev/null
@@ -1,53 +0,0 @@
-package blobstor
-
-import (
-	"os"
-
-	"github.com/nspcc-dev/neofs-api-go/pkg/object"
-	"github.com/pkg/errors"
-)
-
-// DeletePrm groups the parameters of Delete operation.
-type DeletePrm struct {
-	addr *object.Address
-}
-
-// DeleteRes groups resulting values of Delete operation.
-type DeleteRes struct{}
-
-// WithAddress is a Delete option to set the address of the object to delete.
-//
-// Option is required.
-func (p *DeletePrm) WithAddress(addr *object.Address) *DeletePrm {
-	if p != nil {
-		p.addr = addr
-	}
-
-	return p
-}
-
-// Delete removes object from BLOB storage.
-//
-// Returns any error encountered that did not allow
-// to completely remove the object.
-func (b *BlobStor) Delete(prm *DeletePrm) (*DeleteRes, error) {
-	b.mtx.Lock()
-	defer b.mtx.Unlock()
-
-	err := b.fsTree.delete(prm.addr)
-	if errors.Is(err, errFileNotFound) {
-		err = nil
-	}
-
-	return nil, err
-}
-
-func (t *fsTree) delete(addr *object.Address) error {
-	p := t.treePath(addr)
-
-	if _, err := os.Stat(p); os.IsNotExist(err) {
-		return errFileNotFound
-	}
-
-	return os.Remove(p)
-}
diff --git a/pkg/local_object_storage/blobstor/delete_big.go b/pkg/local_object_storage/blobstor/delete_big.go
new file mode 100644
index 000000000..22599471e
--- /dev/null
+++ b/pkg/local_object_storage/blobstor/delete_big.go
@@ -0,0 +1,44 @@
+package blobstor
+
+import (
+	"os"
+
+	"github.com/nspcc-dev/neofs-api-go/pkg/object"
+	"github.com/pkg/errors"
+)
+
+// DeleteBigPrm groups the parameters of DeleteBig operation.
+type DeleteBigPrm struct {
+	address
+}
+
+// DeleteBigRes groups resulting values of DeleteBig operation.
+type DeleteBigRes struct{}
+
+// DeleteBig removes object from shallow dir of BLOB storage.
+//
+// Returns any error encountered that did not allow
+// to completely remove the object.
+//
+// Returns ErrObjectNotFound if there is no object to delete.
+func (b *BlobStor) DeleteBig(prm *DeleteBigPrm) (*DeleteBigRes, error) {
+	b.mtx.Lock()
+	defer b.mtx.Unlock()
+
+	err := b.fsTree.delete(prm.addr)
+	if errors.Is(err, errFileNotFound) {
+		err = ErrObjectNotFound
+	}
+
+	return nil, err
+}
+
+func (t *fsTree) delete(addr *object.Address) error {
+	p := t.treePath(addr)
+
+	if _, err := os.Stat(p); os.IsNotExist(err) {
+		return errFileNotFound
+	}
+
+	return os.Remove(p)
+}
diff --git a/pkg/local_object_storage/shard/delete.go b/pkg/local_object_storage/shard/delete.go
index 462dc2b58..25666397b 100644
--- a/pkg/local_object_storage/shard/delete.go
+++ b/pkg/local_object_storage/shard/delete.go
@@ -38,10 +38,11 @@ func (s *Shard) Delete(prm *DeletePrm) (*DeleteRes, error) {
 		)
 	}
 
-	if _, err := s.blobStor.Delete(
-		new(blobstor.DeletePrm).
-			WithAddress(prm.addr),
-	); err != nil {
+	// form DeleteBig parameters
+	delBigPrm := new(blobstor.DeleteBigPrm)
+	delBigPrm.SetAddress(prm.addr)
+
+	if _, err := s.blobStor.DeleteBig(delBigPrm); err != nil {
 		return nil, errors.Wrap(err, "could not remove object from BLOB storage")
 	}