diff --git a/CHANGELOG.md b/CHANGELOG.md
index 26e9014a0586..31263c491ae5 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -27,6 +27,7 @@ non-ascii paths while adding files from "Connected file share" (issue #4428)
 (<https://github.com/openvinotoolkit/cvat/pull/4659>)
 - Project import with skeletons (<https://github.com/opencv/cvat/pull/4867>,
   <https://github.com/opencv/cvat/pull/5004>)
+- Unstable e2e restore tests (<https://github.com/opencv/cvat/pull/5010>)
 
 ### Security
 - TDB
diff --git a/tests/cypress/integration/actions_tasks2/case_97_export_import_task.js b/tests/cypress/integration/actions_tasks2/case_97_export_import_task.js
index 4b841b290aea..dc5ff8ba4c42 100644
--- a/tests/cypress/integration/actions_tasks2/case_97_export_import_task.js
+++ b/tests/cypress/integration/actions_tasks2/case_97_export_import_task.js
@@ -113,8 +113,12 @@ context('Export, import an annotation task.', { browser: '!firefox' }, () => {
             cy.wait('@importTask').its('response.statusCode').should('equal', 201);
             cy.wait('@importTask').its('response.statusCode').should('equal', 204);
             cy.wait('@importTask').its('response.statusCode').should('equal', 202);
-            cy.wait('@importTask', { timeout: 5000 }).its('response.statusCode').should('equal', 202);
-            cy.wait('@importTask').its('response.statusCode').should('equal', 201);
+            cy.wait('@importTask').then((interception) => {
+                cy.wrap(interception).its('response.statusCode').should('be.oneOf', [201, 202]);
+                if (interception.response.statusCode === 202) {
+                    cy.wait('@importTask').its('response.statusCode').should('equal', 201);
+                }
+            });
             cy.contains('The task has been restored succesfully. Click here to open').should('exist').and('be.visible');
             cy.closeNotification('.ant-notification-notice-info');
             cy.openTask(taskName);
diff --git a/tests/cypress/support/commands_projects.js b/tests/cypress/support/commands_projects.js
index a835c88aac10..b40b7fbccfbe 100644
--- a/tests/cypress/support/commands_projects.js
+++ b/tests/cypress/support/commands_projects.js
@@ -213,13 +213,15 @@ Cypress.Commands.add('restoreProject', (archiveWithBackup, sourceStorage = null)
         cy.wait('@restoreProject').its('response.statusCode').should('equal', 201);
         cy.wait('@restoreProject').its('response.statusCode').should('equal', 204);
         cy.wait('@restoreProject').its('response.statusCode').should('equal', 202);
-        cy.wait('@restoreProject', { timeout: 5000 }).its('response.statusCode').should('equal', 202);
-        cy.wait('@restoreProject').its('response.statusCode').should('equal', 201);
     } else {
         cy.wait('@restoreProject').its('response.statusCode').should('equal', 202);
-        cy.wait('@restoreProject', { timeout: 3000 }).its('response.statusCode').should('equal', 202);
-        cy.wait('@restoreProject').its('response.statusCode').should('equal', 201);
     }
+    cy.wait('@restoreProject').then((interception) => {
+        cy.wrap(interception).its('response.statusCode').should('be.oneOf', [201, 202]);
+        if (interception.response.statusCode === 202) {
+            cy.wait('@restoreProject').its('response.statusCode').should('equal', 201);
+        }
+    });
 
     cy.contains('The project has been restored succesfully. Click here to open')
         .should('exist')