diff --git a/addons/web_editor/static/src/js/editor/snippets.options.js b/addons/web_editor/static/src/js/editor/snippets.options.js
index 202f6385546..8df28c0ee0f 100644
--- a/addons/web_editor/static/src/js/editor/snippets.options.js
+++ b/addons/web_editor/static/src/js/editor/snippets.options.js
@@ -6821,12 +6821,29 @@ registry.BackgroundImage = SnippetOptionWidget.extend({
      */
     setTarget: function () {
         // When we change the target of this option we need to transfer the
-        // background-image from the old target to the new one.
+        // background-image and the dataset information relative to this image
+        // from the old target to the new one.
         const oldBgURL = getBgImageURL(this.$target);
+        const isModifiedImage = this.$target[0].classList.contains("o_modified_image_to_save");
+        const filteredOldDataset = Object.entries(this.$target[0].dataset).filter(([key]) => {
+            return isBackgroundImageAttribute(key);
+        });
+        // Delete the dataset information relative to the background-image of
+        // the old target.
+        filteredOldDataset.forEach(([key]) => {
+            delete this.$target[0].dataset[key];
+        });
+        // It is important to delete ".o_modified_image_to_save" from the old
+        // target as its image source will be deleted.
+        this.$target[0].classList.remove("o_modified_image_to_save");
         this._setBackground('');
         this._super(...arguments);
         if (oldBgURL) {
             this._setBackground(oldBgURL);
+            filteredOldDataset.forEach(([key, value]) => {
+                this.$target[0].dataset[key] = value;
+            });
+            this.$target[0].classList.toggle("o_modified_image_to_save", isModifiedImage);
         }
 
         // TODO should be automatic for all options as equal to the start method
diff --git a/addons/website/static/tests/tours/parallax.js b/addons/website/static/tests/tours/parallax.js
new file mode 100644
index 00000000000..b8a29453979
--- /dev/null
+++ b/addons/website/static/tests/tours/parallax.js
@@ -0,0 +1,50 @@
+/** @odoo-module **/
+
+import wTourUtils from "website.tour_utils";
+
+const coverSnippet = {id: "s_cover", name: "Cover"};
+
+wTourUtils.registerWebsitePreviewTour("test_parallax", {
+    test: true,
+    url: "/",
+    edition: true,
+}, [
+    wTourUtils.dragNDrop(coverSnippet),
+    wTourUtils.clickOnSnippet(coverSnippet),
+    wTourUtils.changeOption("BackgroundOptimize", "we-toggler"),
+    wTourUtils.changeOption("BackgroundOptimize", 'we-button[data-gl-filter="blur"]'),
+{
+    content: "Check that the Cover snippet has the Blur filter on its background image",
+    trigger: "iframe .s_cover span[data-gl-filter='blur']",
+    isCheck: true,
+},
+    wTourUtils.changeOption("Parallax", "we-toggler"),
+    wTourUtils.changeOption("Parallax", 'we-button[data-select-data-attribute="0"]'),
+{
+    content: "Check that the data related to the filter have been transferred to the new target",
+    trigger: "iframe .s_cover[data-gl-filter='blur']",
+    isCheck: true,
+},
+{
+    content: "Check that the 'o_modified_image_to_save' class has been transferred to the new target",
+    trigger: "iframe .s_cover.o_modified_image_to_save",
+    isCheck: true,
+},
+    wTourUtils.changeOption("Parallax", "we-toggler"),
+    wTourUtils.changeOption("Parallax", 'we-button[data-select-data-attribute="1"]'),
+{
+    content: "Check that the 'o_modified_image_to_save' class has been deleted from the old target",
+    trigger: "iframe .s_cover:not(.o_modified_image_to_save)",
+    isCheck: true,
+},
+{
+    content: "Check that the 'o_modified_image_to_save' class has been transferred to the new target",
+    trigger: "iframe span.s_parallax_bg.o_modified_image_to_save",
+    isCheck: true,
+},
+{
+    content: "Check that the data related to the filter have been transferred to the new target",
+    trigger: "iframe span.s_parallax_bg[data-gl-filter='blur']",
+    isCheck: true,
+},
+]);
diff --git a/addons/website/tests/test_snippets.py b/addons/website/tests/test_snippets.py
index 9cb3e985bdc..7a1504f95f4 100644
--- a/addons/website/tests/test_snippets.py
+++ b/addons/website/tests/test_snippets.py
@@ -71,3 +71,6 @@ class TestSnippets(HttpCase):
             'url': base + '/web/image/website.s_banner_default_image.jpg',
         })
         self.start_tour("/", "snippet_image_gallery_remove", login='admin')
+
+    def test_10_parallax(self):
+        self.start_tour(self.env['website'].get_client_action_url('/'), 'test_parallax', login='admin')