diff --git a/pkg/services/object_manager/placement/traverser.go b/pkg/services/object_manager/placement/traverser.go
index c59146e2..ad107704 100644
--- a/pkg/services/object_manager/placement/traverser.go
+++ b/pkg/services/object_manager/placement/traverser.go
@@ -97,16 +97,22 @@ func NewTraverser(opts ...Option) (*Traverser, error) {
 	} else {
 		rem = defaultCopiesVector(cfg.policy)
 
-		// compatibleZeroVector is a bool flag which is set when cfg.copyNumbers
-		// is [0]. In this case we should not modify `rem` slice unless track
-		// copies are ignored, because [0] means that all copies should be
+		// Bool flag which is set when cfg.copyNumbers contains not only zeros.
+		// In this case we should not modify `rem` slice unless track
+		// copies are ignored, because [0, ...] means that all copies should be
 		// stored before returning OK to the client.
-		compatibleZeroVector := len(cfg.copyNumbers) == 1 && cfg.copyNumbers[0] == 0
+		var considerCopiesNumber bool
+		for _, val := range cfg.copyNumbers {
+			if val != 0 {
+				considerCopiesNumber = true
+				break
+			}
+		}
 
 		for i := range rem {
 			if !cfg.trackCopies {
 				rem[i] = -1
-			} else if len(cfg.copyNumbers) > i && !compatibleZeroVector {
+			} else if considerCopiesNumber && len(cfg.copyNumbers) > i {
 				rem[i] = int(cfg.copyNumbers[i])
 			}
 		}
diff --git a/pkg/services/object_manager/placement/traverser_test.go b/pkg/services/object_manager/placement/traverser_test.go
index 1b307da6..e16f3375 100644
--- a/pkg/services/object_manager/placement/traverser_test.go
+++ b/pkg/services/object_manager/placement/traverser_test.go
@@ -227,10 +227,20 @@ func TestTraverserRemValues(t *testing.T) {
 			expectedRem: replicas,
 		},
 		{
-			name:        "compatible zero copy numbers",
+			name:        "compatible zero copy numbers, len 1",
 			copyNumbers: []uint32{0},
 			expectedRem: replicas,
 		},
+		{
+			name:        "compatible zero copy numbers, len 2",
+			copyNumbers: []uint32{0, 0},
+			expectedRem: replicas,
+		},
+		{
+			name:        "compatible zero copy numbers, len 3",
+			copyNumbers: []uint32{0, 0, 0},
+			expectedRem: replicas,
+		},
 		{
 			name:        "copy numbers for all replicas",
 			copyNumbers: []uint32{1, 1, 1},