diff --git a/packages/docs/src/examples/v-alert/prop-duration.vue b/packages/docs/src/examples/v-alert/prop-duration.vue
new file mode 100644
index 00000000000..4d7ee8f6d50
--- /dev/null
+++ b/packages/docs/src/examples/v-alert/prop-duration.vue
@@ -0,0 +1,25 @@
+<template>
+  <div>
+    <v-btn
+      v-if="!visible"
+      @click="visible = true"
+    >
+      Show alert
+    </v-btn>
+
+    <v-alert
+      v-else
+      v-model="visible"
+      :duration="3000"
+      text="This alert will automatically dismiss after 3 seconds."
+      type="info"
+      closable
+    ></v-alert>
+  </div>
+</template>
+
+<script setup>
+  import { ref } from 'vue'
+
+  const visible = ref(true)
+</script>
diff --git a/packages/docs/src/examples/v-treeview/prop-search-auto-expand.vue b/packages/docs/src/examples/v-treeview/prop-search-auto-expand.vue
new file mode 100644
index 00000000000..ff2a9c9e844
--- /dev/null
+++ b/packages/docs/src/examples/v-treeview/prop-search-auto-expand.vue
@@ -0,0 +1,67 @@
+<template>
+  <v-card class="mx-auto" max-width="500">
+    <v-sheet class="pa-4" color="surface-variant">
+      <v-text-field
+        v-model="search"
+        label="Search"
+        variant="solo"
+        clearable
+        flat
+        hide-details
+      ></v-text-field>
+    </v-sheet>
+
+    <v-treeview
+      :items="items"
+      :search="search"
+    ></v-treeview>
+  </v-card>
+</template>
+
+<script setup>
+  import { shallowRef } from 'vue'
+
+  const search = shallowRef('')
+
+  const items = [
+    {
+      title: 'Frontend',
+      children: [
+        {
+          title: 'JavaScript',
+          children: [
+            { title: 'React' },
+            { title: 'Vue' },
+            { title: 'Angular' },
+          ],
+        },
+        {
+          title: 'CSS',
+          children: [
+            { title: 'Sass' },
+            { title: 'Tailwind' },
+          ],
+        },
+      ],
+    },
+    {
+      title: 'Backend',
+      children: [
+        {
+          title: 'Python',
+          children: [
+            { title: 'Django' },
+            { title: 'FastAPI' },
+          ],
+        },
+        {
+          title: 'Node.js',
+          children: [
+            { title: 'Express' },
+            { title: 'NestJS' },
+          ],
+        },
+      ],
+    },
+  ]
+</script>
diff --git a/packages/docs/src/pages/en/components/alerts.md b/packages/docs/src/pages/en/components/alerts.md
index 97701b717a5..7959420d393 100644
--- a/packages/docs/src/pages/en/components/alerts.md
+++ b/packages/docs/src/pages/en/components/alerts.md
@@ -131,6 +131,12 @@ The **closable** prop adds a [v-icon](/components/icons) on the far right, after
 
 <ExamplesExample file="v-alert/prop-closable" />
 
+#### Duration
+
+The **duration** prop causes the alert to automatically dismiss itself after the specified number of milliseconds. Set to `-1` (the default) to disable auto-dismiss. Combine with **closable** to give users both auto-dismiss and manual control.
+
+<ExamplesExample file="v-alert/prop-duration" />
+
 The close icon automatically applies a default `aria-label` and is configurable by using the **close-label** prop or changing **close** value in your locale.
 
 ::: info
diff --git a/packages/vuetify/src/components/VAlert/VAlert.tsx b/packages/vuetify/src/components/VAlert/VAlert.tsx
index 42672ddc0e0..b30684c40d7 100644
--- a/packages/vuetify/src/components/VAlert/VAlert.tsx
+++ b/packages/vuetify/src/components/VAlert/VAlert.tsx
@@ -25,7 +25,7 @@ import { makeThemeProps, provideTheme } from '@/composables/theme'
 import { genOverlays, makeVariantProps, useVariant } from '@/composables/variant'
 
 // Utilities
-import { toRef } from 'vue'
+import { onMounted, onScopeDispose, toRef, watch } from 'vue'
 import { genericComponent, propsFactory } from '@/util'
 
 // Types
@@ -57,6 +57,10 @@ export const makeVAlertProps = propsFactory({
     type: String,
     default: '$vuetify.close',
   },
+  duration: {
+    type: [Number, String],
+    default: -1,
+  },
   icon: {
     type: [Boolean, String, Function, Object] as PropType<false | IconValue>,
     default: null,
@@ -107,6 +111,28 @@ export const VAlert = genericComponent<VAlertSlots>()({
 
   setup (props, { emit, slots }) {
     const isActive = useProxiedModel(props, 'modelValue')
+
+    let dismissTimer = -1
+    function clearDismissTimer () {
+      if (dismissTimer !== -1) {
+        window.clearTimeout(dismissTimer)
+        dismissTimer = -1
+      }
+    }
+    function scheduleDismiss () {
+      clearDismissTimer()
+      const ms = Number(props.duration)
+      if (ms > 0 && isActive.value) {
+        dismissTimer = window.setTimeout(() => {
+          isActive.value = false
+          dismissTimer = -1
+        }, ms)
+      }
+    }
+    onMounted(scheduleDismiss)
+    watch(() => [props.duration, isActive.value], scheduleDismiss)
+    onScopeDispose(clearDismissTimer)
+
     const icon = toRef(() => {
       if (props.icon === false) return undefined
       if (!props.type) return props.icon
diff --git a/packages/vuetify/src/components/VTreeview/VTreeview.tsx b/packages/vuetify/src/components/VTreeview/VTreeview.tsx
index c046ccabbc7..2e44d2a249e 100644
--- a/packages/vuetify/src/components/VTreeview/VTreeview.tsx
+++ b/packages/vuetify/src/components/VTreeview/VTreeview.tsx
@@ -106,7 +106,6 @@ export const VTreeview = genericComponent<new <T, O, A, S, M>(
 
     const vListRef = ref<VList>()
 
-    const opened = computed(() => props.openAll ? openAll(items.value) : props.opened)
     const flatItems = computed(() => flatten(items.value))
     const search = toRef(() => props.search)
     const { filteredItems } = useFilter(props, flatItems, search)
@@ -123,6 +122,28 @@ export const VTreeview = genericComponent<new <T, O, A, S, M>(
       }))
     })
 
+    const searchOpened = computed(() => {
+      if (!search.value) return null
+      const getPath = vListRef.value?.getPath
+      if (!getPath) return null
+      const ids = new Set<unknown>()
+      for (const item of filteredItems.value) {
+        const itemVal = props.returnObject ? item.raw : item.props.value
+        for (const id of getPath(itemVal)) {
+          ids.add(toRaw(id))
+        }
+      }
+      return ids.size > 0 ? [...ids] : null
+    })
+
+    const opened = computed(() => {
+      if (props.openAll) return openAll(items.value)
+      if (searchOpened.value) {
+        return [...new Set([...(props.opened ?? []), ...searchOpened.value])]
+      }
+      return props.opened
+    })
+
     function getChildren (id: unknown) {
       const arr: unknown[] = []
       const queue = ((vListRef.value?.children.get(id) ?? []).slice())