diff --git a/packages/backend.ai-ui/src/components/BAISelect.tsx b/packages/backend.ai-ui/src/components/BAISelect.tsx
index b6ecec7b26..e73358efed 100644
--- a/packages/backend.ai-ui/src/components/BAISelect.tsx
+++ b/packages/backend.ai-ui/src/components/BAISelect.tsx
@@ -43,6 +43,24 @@ const useStyles = createStyles(({ css, token }) => ({
         color: ${token.colorBgBase};
       }
     }
+
+    /* In ghost mode the border-color is hard-overridden with !important,
+       which would otherwise swallow antd's status="error" red border.
+       Restore the error treatment with a higher-specificity rule so a
+       ghost select (e.g. the header ProjectSelect) can still surface an
+       error state. */
+    &.ant-select.ant-select-status-error {
+      border-color: ${token.colorError} !important;
+
+      .ant-select-suffix {
+        color: ${token.colorError};
+      }
+
+      &:hover .ant-select-suffix,
+      &:active .ant-select-suffix {
+        color: ${token.colorError};
+      }
+    }
   `,
   customStyle: css`
     /* Hide selected value content (except search input) when the user is typing a search query.
diff --git a/react/src/components/ProjectSelect.tsx b/react/src/components/ProjectSelect.tsx
index bc9cfe3eea..1158eb6a70 100644
--- a/react/src/components/ProjectSelect.tsx
+++ b/react/src/components/ProjectSelect.tsx
@@ -7,6 +7,7 @@ import { useSuspendedBackendaiClient } from '../hooks';
 import { useCurrentUserInfo, useCurrentUserRole } from '../hooks/backendai';
 import useControllableState_deprecated from '../hooks/useControllableState';
 import { useCurrentUserProjectRoles } from '../hooks/useCurrentUserProjectRoles';
+import { InfoCircleOutlined } from '@ant-design/icons';
 import { theme, Tooltip } from 'antd';
 import { BAIFlex, BAISelect, BAISelectProps } from 'backend.ai-ui';
 import * as _ from 'lodash-es';
@@ -153,6 +154,13 @@ const ProjectSelect: React.FC<ProjectSelectProps> = ({
     },
   );
 
+  const showNoProjectError =
+    !accessibleProjects?.length &&
+    !selectProps.disabled &&
+    !selectProps.loading;
+
+  const noAccessibleProjectsMessage = t('projectSelect.NoAccessibleProjects');
+
   return (
     <BAISelect
       onChange={(value, option) => {
@@ -169,6 +177,24 @@ const ProjectSelect: React.FC<ProjectSelectProps> = ({
       options={
         _.size(groupOptions) > 1 ? groupOptions : groupOptions[0]?.options
       }
+      status={showNoProjectError ? 'error' : selectProps.status}
+      // Surface the empty-state reason on the focusable control itself,
+      // not only on the non-focusable suffix icon. `tooltip` wraps the
+      // whole BAISelect in an antd Tooltip (hover over the entire control,
+      // not just the tiny icon), and `aria-label` gives keyboard /
+      // screen-reader users a persistent accessible description that does
+      // not depend on the tooltip being open.
+      tooltip={
+        showNoProjectError ? noAccessibleProjectsMessage : selectProps.tooltip
+      }
+      aria-label={
+        showNoProjectError
+          ? noAccessibleProjectsMessage
+          : selectProps['aria-label']
+      }
+      suffixIcon={
+        showNoProjectError ? <InfoCircleOutlined /> : selectProps.suffixIcon
+      }
     />
   );
 };
diff --git a/resources/i18n/de.json b/resources/i18n/de.json
index 4d31941cb7..383ba8ea05 100644
--- a/resources/i18n/de.json
+++ b/resources/i18n/de.json
@@ -2113,6 +2113,7 @@
     "RoleMember": "Mitglied"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "Keine zugänglichen Projekte.",
     "ProjectAdminBadge": "Projektadministrator"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/el.json b/resources/i18n/el.json
index 3fdd33dd50..3cff62e1c1 100644
--- a/resources/i18n/el.json
+++ b/resources/i18n/el.json
@@ -2111,6 +2111,7 @@
     "RoleMember": "Μέλος"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "Δεν υπάρχουν προσβάσιμα έργα.",
     "ProjectAdminBadge": "Διαχειριστής έργου"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/en.json b/resources/i18n/en.json
index 592dc9d93c..70607af74a 100644
--- a/resources/i18n/en.json
+++ b/resources/i18n/en.json
@@ -2130,6 +2130,7 @@
     "RoleMember": "Member"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "No accessible projects.",
     "ProjectAdminBadge": "Project Admin"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/es.json b/resources/i18n/es.json
index fabaf4a1f9..1695446697 100644
--- a/resources/i18n/es.json
+++ b/resources/i18n/es.json
@@ -2111,6 +2111,7 @@
     "RoleMember": "Miembro"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "No hay proyectos accesibles.",
     "ProjectAdminBadge": "Administrador del proyecto"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/fi.json b/resources/i18n/fi.json
index d229b3f62a..1cf7bae01d 100644
--- a/resources/i18n/fi.json
+++ b/resources/i18n/fi.json
@@ -2111,6 +2111,7 @@
     "RoleMember": "Jäsen"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "Ei saatavilla olevia projekteja.",
     "ProjectAdminBadge": "Projektin ylläpitäjä"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/fr.json b/resources/i18n/fr.json
index ea4162f099..2a6e459330 100644
--- a/resources/i18n/fr.json
+++ b/resources/i18n/fr.json
@@ -2113,6 +2113,7 @@
     "RoleMember": "Membre"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "Aucun projet accessible.",
     "ProjectAdminBadge": "Administrateur de projet"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/id.json b/resources/i18n/id.json
index 891951a480..cb78f2ddd8 100644
--- a/resources/i18n/id.json
+++ b/resources/i18n/id.json
@@ -2114,6 +2114,7 @@
     "RoleMember": "Anggota"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "Tidak ada proyek yang dapat diakses.",
     "ProjectAdminBadge": "Admin Proyek"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/it.json b/resources/i18n/it.json
index e290140d1e..8f43ffac7e 100644
--- a/resources/i18n/it.json
+++ b/resources/i18n/it.json
@@ -2111,6 +2111,7 @@
     "RoleMember": "Membro"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "Nessun progetto accessibile.",
     "ProjectAdminBadge": "Amministratore del progetto"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/ja.json b/resources/i18n/ja.json
index 47432889d4..de28919a69 100644
--- a/resources/i18n/ja.json
+++ b/resources/i18n/ja.json
@@ -2113,6 +2113,7 @@
     "RoleMember": "メンバー"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "アクセス可能なプロジェクトがありません。",
     "ProjectAdminBadge": "プロジェクト管理者"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/ko.json b/resources/i18n/ko.json
index b971cd5b88..dfaef7c076 100644
--- a/resources/i18n/ko.json
+++ b/resources/i18n/ko.json
@@ -2114,6 +2114,7 @@
     "RoleMember": "구성원"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "선택 가능한 프로젝트가 없습니다.",
     "ProjectAdminBadge": "프로젝트 관리자"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/mn.json b/resources/i18n/mn.json
index aeff3d1500..8aa91e3735 100644
--- a/resources/i18n/mn.json
+++ b/resources/i18n/mn.json
@@ -2112,6 +2112,7 @@
     "RoleMember": "Гишүүн"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "Боломжтой төсөл байхгүй байна.",
     "ProjectAdminBadge": "Төслийн администратор"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/ms.json b/resources/i18n/ms.json
index 7bb247ac26..310fe06cf5 100644
--- a/resources/i18n/ms.json
+++ b/resources/i18n/ms.json
@@ -2111,6 +2111,7 @@
     "RoleMember": "Ahli"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "Tiada projek yang boleh diakses.",
     "ProjectAdminBadge": "Pentadbir Projek"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/pl.json b/resources/i18n/pl.json
index 67755b458d..a005614d40 100644
--- a/resources/i18n/pl.json
+++ b/resources/i18n/pl.json
@@ -2113,6 +2113,7 @@
     "RoleMember": "Członek"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "Brak dostępnych projektów.",
     "ProjectAdminBadge": "Administrator projektu"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/pt-BR.json b/resources/i18n/pt-BR.json
index 5cc523a57f..75e8b1d6f2 100644
--- a/resources/i18n/pt-BR.json
+++ b/resources/i18n/pt-BR.json
@@ -2111,6 +2111,7 @@
     "RoleMember": "Membro"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "Nenhum projeto acessível.",
     "ProjectAdminBadge": "Administrador do projeto"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/pt.json b/resources/i18n/pt.json
index 5b491b5743..dfcd0996cc 100644
--- a/resources/i18n/pt.json
+++ b/resources/i18n/pt.json
@@ -2113,6 +2113,7 @@
     "RoleMember": "Membro"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "Nenhum projeto acessível.",
     "ProjectAdminBadge": "Administrador do projeto"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/ru.json b/resources/i18n/ru.json
index 7fa4ca35b9..e7ac67f805 100644
--- a/resources/i18n/ru.json
+++ b/resources/i18n/ru.json
@@ -2111,6 +2111,7 @@
     "RoleMember": "Участник"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "Нет доступных проектов.",
     "ProjectAdminBadge": "Администратор проекта"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/th.json b/resources/i18n/th.json
index 3c3115d922..5bb2e000dc 100644
--- a/resources/i18n/th.json
+++ b/resources/i18n/th.json
@@ -2113,6 +2113,7 @@
     "RoleMember": "สมาชิก"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "ไม่มีโปรเจกต์ที่สามารถเข้าถึงได้",
     "ProjectAdminBadge": "ผู้ดูแลโปรเจกต์"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/tr.json b/resources/i18n/tr.json
index 41e46542a8..472558942a 100644
--- a/resources/i18n/tr.json
+++ b/resources/i18n/tr.json
@@ -2111,6 +2111,7 @@
     "RoleMember": "Üye"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "Erişilebilir proje bulunmuyor.",
     "ProjectAdminBadge": "Proje Yöneticisi"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/vi.json b/resources/i18n/vi.json
index bbc6b9b9d6..92ae8bc741 100644
--- a/resources/i18n/vi.json
+++ b/resources/i18n/vi.json
@@ -2113,6 +2113,7 @@
     "RoleMember": "Thành viên"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "Không có dự án nào có thể truy cập.",
     "ProjectAdminBadge": "Quản trị dự án"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/zh-CN.json b/resources/i18n/zh-CN.json
index 5001ce3904..282fd10455 100644
--- a/resources/i18n/zh-CN.json
+++ b/resources/i18n/zh-CN.json
@@ -2113,6 +2113,7 @@
     "RoleMember": "成员"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "没有可访问的项目。",
     "ProjectAdminBadge": "项目管理员"
   },
   "prometheusQueryPreset": {
diff --git a/resources/i18n/zh-TW.json b/resources/i18n/zh-TW.json
index f1b9841d4b..1d9da60584 100644
--- a/resources/i18n/zh-TW.json
+++ b/resources/i18n/zh-TW.json
@@ -2115,6 +2115,7 @@
     "RoleMember": "成員"
   },
   "projectSelect": {
+    "NoAccessibleProjects": "沒有可存取的專案。",
     "ProjectAdminBadge": "專案管理員"
   },
   "prometheusQueryPreset": {