diff --git a/addons/web/static/src/core/dropdown/dropdown.js b/addons/web/static/src/core/dropdown/dropdown.js
index 3925792f75f..c86f524f395 100644
--- a/addons/web/static/src/core/dropdown/dropdown.js
+++ b/addons/web/static/src/core/dropdown/dropdown.js
@@ -100,6 +100,7 @@ export class Dropdown extends Component {
         if (["left", "right"].includes(direction) && localization.direction === "rtl") {
             direction = direction === "left" ? "right" : "left";
         }
+        this.defaultDirection = direction;
         const positioningOptions = {
             popper: "menuRef",
             position,
@@ -186,6 +187,11 @@ export class Dropdown extends Component {
                 return;
             }
         }
+
+        if (!stateSlice.open) {
+            this.state.directionCaretClass = DIRECTION_CARET_CLASS[this.defaultDirection];
+        }
+
         // Update the state
         Object.assign(this.state, stateSlice);
         // Notify over the bus
diff --git a/addons/web/static/src/core/signature/name_and_signature.xml b/addons/web/static/src/core/signature/name_and_signature.xml
index 21530b274a3..b572b302ba2 100644
--- a/addons/web/static/src/core/signature/name_and_signature.xml
+++ b/addons/web/static/src/core/signature/name_and_signature.xml
@@ -70,7 +70,7 @@
 
                         <div class="col-auto division ms-auto"></div>
 
-                        <Dropdown t-if="state.signMode === 'auto'" class="'o_web_sign_auto_select_style col-auto'" togglerClass="'btn btn-link fa fa-font'">
+                        <Dropdown t-if="state.signMode === 'auto'" class="'o_web_sign_auto_select_style col-auto'" showCaret="true" togglerClass="'btn btn-link fa fa-font'">
                             <t t-foreach="fonts" t-as="font" t-key="font_index">
                                 <DropdownItem onSelected="() => this.onSelectFont(font_index)">
                                     <img class="img-fluid" t-att-src="getSVGTextFont(font)"/>
diff --git a/addons/web/static/tests/core/dropdown_tests.js b/addons/web/static/tests/core/dropdown_tests.js
index eb072562844..56ccb9b9c08 100644
--- a/addons/web/static/tests/core/dropdown_tests.js
+++ b/addons/web/static/tests/core/dropdown_tests.js
@@ -1079,6 +1079,46 @@ QUnit.module("Components", ({ beforeEach }) => {
         );
     });
 
+    QUnit.test("caret should be repositioned to default direction when closed", async (assert) => {
+        class Parent extends Component {
+            static components = { Dropdown };
+            static template = xml`
+                <div style="height: 384px;"/> <!-- filler: takes half the runbot's browser_size -->
+                <Dropdown showCaret="true">
+                    <t t-set-slot="toggler">🍋</t>
+                    <div style="height: 400px; width: 50px;"/> <!-- menu filler -->
+                </Dropdown>
+            `;
+        }
+        // The fixture should be shown for this test, as the positioning container is the html node
+        target.style.position = "fixed";
+        target.style.top = "0";
+        target.style.left = "0";
+
+        env = await makeTestEnv();
+        await mount(Parent, target, { env });
+        const dropdown = target.querySelector(".o-dropdown");
+        assert.doesNotHaveClass(dropdown, "show");
+        assert.hasClass(dropdown, "dropdown");
+
+        // open
+        await click(target, ".dropdown-toggle");
+        await nextTick(); // awaits for the caret to get patched
+        assert.hasClass(dropdown, "show");
+        assert.hasClass(dropdown, "dropend");
+
+        // close
+        await click(target, ".dropdown-toggle");
+        assert.doesNotHaveClass(dropdown, "show");
+        assert.hasClass(dropdown, "dropdown");
+
+        // open
+        await click(target, ".dropdown-toggle");
+        await nextTick(); // awaits for the caret to get patched
+        assert.hasClass(dropdown, "show");
+        assert.hasClass(dropdown, "dropend");
+    });
+
     QUnit.test(
         "multi-level dropdown: mouseentering a dropdown item should close any subdropdown",
         async (assert) => {