diff --git a/test/gzip.bats b/test/gzip.bats
index 7b7676e8..857cbb1d 100644
--- a/test/gzip.bats
+++ b/test/gzip.bats
@@ -128,3 +128,10 @@ EOF
   echo "$l2"
   [ "$l1" = "$l2" ]
 }
+
+@test "import various sizes" {
+  test_copy_buffer_size 512k tar
+  test_copy_buffer_size 2m tar
+  test_copy_buffer_size 512k tar.gz
+  test_copy_buffer_size 2m tar.gz
+}
diff --git a/test/helpers.bash b/test/helpers.bash
index e2ad36ac..1ce79a3a 100644
--- a/test/helpers.bash
+++ b/test/helpers.bash
@@ -200,3 +200,41 @@ function zot_teardown {
   killall zot
   rm -f $TEST_TMPDIR/zot-config.json
 }
+
+function test_copy_buffer_size() {
+   local buffer_size=$1
+   local file_type=$2
+   rm -rf folder1
+   mkdir folder1
+   truncate -s $buffer_size folder1/file1
+   if [ $file_type = "tar" ]; then
+     tar cvf test.$file_type folder1
+   else
+     tar cvzf test.$file_type folder1
+   fi
+   cat > stacker.yaml <<EOF
+tar:
+  from:
+    type: tar
+    url: test.$file_type
+EOF
+  stacker build
+  cat oci/index.json | jq .
+  m1=$(cat oci/index.json | jq .manifests[0].digest | sed  's/sha256://' | tr -d \")
+  cat oci/blobs/sha256/"$m1" | jq .
+  l1=$(cat oci/blobs/sha256/"$m1" | jq .layers[0].digest | sed  's/sha256://' | tr -d \")
+  $SKOPEO --version
+  [[ "$($SKOPEO --version)" =~ "skopeo version ${SKOPEO_VERSION}" ]] || {
+    echo "$SKOPEO --version should be ${SKOPEO_VERSION}"
+    exit 1
+  }
+  $SKOPEO copy --format=oci oci:oci:tar containers-storage:test:tar
+  $SKOPEO copy --format=oci containers-storage:test:tar oci:oci:test
+  cat oci/index.json | jq .
+  m2=$(cat oci/index.json | jq .manifests[1].digest | sed  's/sha256://' | tr -d \")
+  cat oci/blobs/sha256/"$m2" | jq .
+  l2=$(cat oci/blobs/sha256/"$m2" | jq .layers[0].digest | sed  's/sha256://' | tr -d \")
+  echo "$l1"
+  echo "$l2"
+  [ "$l1" = "$l2" ]
+}