diff --git a/addons/web_tour/static/src/js/tip.js b/addons/web_tour/static/src/js/tip.js
index b08c12dce52..1f7758d6ada 100644
--- a/addons/web_tour/static/src/js/tip.js
+++ b/addons/web_tour/static/src/js/tip.js
@@ -27,6 +27,8 @@ var Tip = Widget.extend({
      *  - position [String] tip's position ('top', 'right', 'left' or 'bottom'), default 'right'
      *  - width [int] the width in px of the tip when opened, default 270
      *  - space [int] space in px between anchor and tip, default 10
+     *  - hidden [boolean] if true, the tip won't be visible (but the handlers will still be
+     *    bound on the anchor, so that the tip is consumed if the user clicks on it)
      *  - overlay [Object] x and y values for the number of pixels the mouseout detection area
      *    overlaps the opened tip, default {x: 50, y: 50}
      */
@@ -89,6 +91,7 @@ var Tip = Widget.extend({
         this._bind_anchor_events();
         this._updatePosition(true);
 
+        this.$el.toggleClass('d-none', !!this.info.hidden);
         this.$el.css("opacity", 1);
         core.bus.on("resize", this, _.debounce(function () {
             if (this.tip_opened) {
diff --git a/addons/web_tour/static/src/js/tour_manager.js b/addons/web_tour/static/src/js/tour_manager.js
index bdcb3f91c7f..aae5c85bf38 100644
--- a/addons/web_tour/static/src/js/tour_manager.js
+++ b/addons/web_tour/static/src/js/tour_manager.js
@@ -235,12 +235,11 @@ return core.Class.extend(mixins.EventDispatcherMixin, ServicesMixin, {
             const sortedTooltips = Object.keys(this.active_tooltips).sort(
                 (a, b) => this.tours[a].sequence - this.tours[b].sequence
             );
+            let visibleTip = false;
             for (const tourName of sortedTooltips) {
                 var tip = this.active_tooltips[tourName];
-                var activated = this._check_for_tooltip(tip, tourName);
-                if (activated) {
-                    break;
-                }
+                tip.hidden = visibleTip;
+                visibleTip = this._check_for_tooltip(tip, tourName) || visibleTip;
             }
         }
     },
diff --git a/addons/web_tour/static/tests/tour_manager_tests.js b/addons/web_tour/static/tests/tour_manager_tests.js
index 14802f9086f..0b8f7e0679d 100644
--- a/addons/web_tour/static/tests/tour_manager_tests.js
+++ b/addons/web_tour/static/tests/tour_manager_tests.js
@@ -71,12 +71,48 @@ odoo.define('web_tour.tour_manager_tests', async function (require) {
                 debug: true,
             });
 
-            assert.containsOnce(document.body, '.o_tooltip');
-            const tooltip = document.querySelector('.o_tooltip_content');
-            assert.strictEqual(tooltip.innerHTML.trim(), "Oui",
+            assert.containsOnce(document.body, '.o_tooltip:visible');
+            assert.strictEqual($('.o_tooltip_content:visible').text(), "Oui",
                 "content should be that of the third tour");
 
             tourManager.destroy();
         });
+
+        QUnit.test("Click on invisible tip consumes it", async function (assert) {
+            assert.expect(5);
+
+            const tourManager = await createTourManager({
+                template: `
+                    <button class="btn anchor1">Anchor</button>
+                    <button class="btn anchor2">Anchor</button>
+                    `,
+                tours: [{
+                    name: "Tour 1",
+                    options: { rainbowMan: false, sequence: 10 },
+                    steps: [{ trigger: '.anchor1', content: "1" }],
+                }, {
+                    name: "Tour 2",
+                    options: { rainbowMan: false, sequence: 5 },
+                    steps: [{ trigger: '.anchor2', content: "2" }],
+                }],
+                // Use this test in "debug" mode because the tips need to be in
+                // the viewport to be able to test their normal content
+                // (otherwise, the tips would indicate to the users that they
+                // have to scroll).
+                debug: true,
+            });
+
+            assert.containsN(document.body, '.o_tooltip', 2);
+            assert.strictEqual($('.o_tooltip_content:visible').text(), "2");
+
+            await testUtils.dom.click($('.anchor1'));
+            assert.containsOnce(document.body, '.o_tooltip');
+            assert.strictEqual($('.o_tooltip_content:visible').text(), "2");
+
+            await testUtils.dom.click($('.anchor2'));
+            assert.containsNone(document.body, '.o_tooltip');
+
+            tourManager.destroy();
+        });
     });
 });