diff --git a/assets/src/bundles/save/index.js b/assets/src/bundles/save/index.js
--- a/assets/src/bundles/save/index.js
+++ b/assets/src/bundles/save/index.js
@@ -180,11 +180,16 @@
                 let html = '';
                 const sanitizedURL = $.fn.dataTable.render.text().display(data);
                 if (row.save_task_status === 'succeeded') {
-                  let browseOriginUrl = `${Urls.browse_origin()}?origin_url=${encodeURIComponent(sanitizedURL)}`;
-                  if (row.visit_date) {
-                    browseOriginUrl += `&timestamp=${encodeURIComponent(row.visit_date)}`;
+                  if (row.visit_status === 'full' || row.visit_status === 'partial') {
+                    let browseOriginUrl = `${Urls.browse_origin()}?origin_url=${encodeURIComponent(sanitizedURL)}`;
+                    if (row.visit_date) {
+                      browseOriginUrl += `&timestamp=${encodeURIComponent(row.visit_date)}`;
+                    }
+                    html += `<a href="${browseOriginUrl}">${sanitizedURL}</a>`;
+                  } else {
+                    const tooltip = 'origin was successfully loaded, waiting for data to be available in database';
+                    html += `<span title="${tooltip}">${sanitizedURL}</span>`;
                   }
-                  html += `<a href="${browseOriginUrl}">${sanitizedURL}</a>`;
                 } else {
                   html += sanitizedURL;
                 }
diff --git a/cypress/fixtures/origin-save.json b/cypress/fixtures/origin-save.json
--- a/cypress/fixtures/origin-save.json
+++ b/cypress/fixtures/origin-save.json
@@ -2,85 +2,106 @@
   "recordsTotal": 6839,
   "draw": 2,
   "recordsFiltered": 6839,
-  "data": [{
-    "id": 6869,
-    "visit_type": "git",
-    "origin_url": "https://gitlab.inria.fr/solverstack/maphys/maphys/",
-    "save_request_date": "2020-03-25T15:57:21.725886+00:00",
-    "save_request_status": "accepted",
-    "save_task_status": "succeeded",
-    "visit_date": "2020-03-25T16:23:15.309379+00:00"
-  }, {
-    "id": 6868,
-    "visit_type": "git",
-    "origin_url": "https://github.com/orthecreedence/cl-async.git",
-    "save_request_date": "2020-01-17T09:39:55.930715+00:00",
-    "save_request_status": "accepted",
-    "save_task_status": "succeeded",
-    "visit_date": "2020-01-17T09:47:20.992279+00:00"
-  }, {
-    "id": 6867,
-    "visit_type": "git",
-    "origin_url": "https://forge.frm2.tum.de/cgit/cgit.cgi/frm2/mira/takin-data.git/",
-    "save_request_date": "2020-01-17T07:16:54.421290+00:00",
-    "save_request_status": "accepted",
-    "save_task_status": "failed",
-    "visit_date": "2020-01-17T07:46:35.223112+00:00"
-  }, {
-    "id": 6866,
-    "visit_type": "git",
-    "origin_url": "https://forge.frm2.tum.de/cgit/cgit.cgi/frm2/mira/mcstas.git/",
-    "save_request_date": "2020-01-17T07:16:43.411145+00:00",
-    "save_request_status": "accepted",
-    "save_task_status": "failed",
-    "visit_date": "2020-01-17T07:46:32.710716+00:00"
-  }, {
-    "id": 6865,
-    "visit_type": "git",
-    "origin_url": "https://forge.frm2.tum.de/cgit/cgit.cgi/frm2/mira/miezetools.git/",
-    "save_request_date": "2020-01-17T07:16:31.085132+00:00",
-    "save_request_status": "accepted",
-    "save_task_status": "failed",
-    "visit_date": "2020-01-17T07:46:32.634520+00:00"
-  }, {
-    "id": 6864,
-    "visit_type": "git",
-    "origin_url": "https://forge.frm2.tum.de/cgit/cgit.cgi/frm2/mira/tlibs.git/",
-    "save_request_date": "2020-01-17T07:16:21.708408+00:00",
-    "save_request_status": "accepted",
-    "save_task_status": "failed",
-    "visit_date": "2020-01-17T07:46:32.542717+00:00"
-  }, {
-    "id": 6863,
-    "visit_type": "git",
-    "origin_url": "https://forge.frm2.tum.de/cgit/cgit.cgi/frm2/mira/tastools.git/",
-    "save_request_date": "2020-01-17T07:15:58.076850+00:00",
-    "save_request_status": "accepted",
-    "save_task_status": "failed",
-    "visit_date": "2020-01-17T07:46:32.226750+00:00"
-  }, {
-    "id": 6862,
-    "visit_type": "git",
-    "origin_url": "https://github.com/openfun/flower-docker",
-    "save_request_date": "2020-01-16T15:26:05.406086+00:00",
-    "save_request_status": "accepted",
-    "save_task_status": "succeeded",
-    "visit_date": "2020-01-16T15:47:50.200655+00:00"
-  }, {
-    "id": 6861,
-    "visit_type": "git",
-    "origin_url": "https://gitlab.inria.fr/dsi_public/depots_officiels_inria_gitlab",
-    "save_request_date": "2020-01-16T11:27:26.916797+00:00",
-    "save_request_status": "accepted",
-    "save_task_status": "succeeded",
-    "visit_date": "2020-01-16T11:44:01.715665+00:00"
-  }, {
-    "id": 6860,
-    "visit_type": "git",
-    "origin_url": "https://github.com/SocialGouv/cdtn-run",
-    "save_request_date": "2020-01-16T11:23:24.933159+00:00",
-    "save_request_status": "accepted",
-    "save_task_status": "succeeded",
-    "visit_date": "2020-01-16T11:39:50.882730+00:00"
-  }]
+  "data": [
+    {
+      "id": 6869,
+      "visit_type": "git",
+      "origin_url": "https://gitlab.inria.fr/solverstack/maphys/maphys/",
+      "save_request_date": "2020-03-25T15:57:21.725886+00:00",
+      "save_request_status": "accepted",
+      "save_task_status": "succeeded",
+      "visit_date": "2020-03-25T16:23:15.309379+00:00",
+      "visit_status": "full"
+    },
+    {
+      "id": 6868,
+      "visit_type": "git",
+      "origin_url": "https://github.com/orthecreedence/cl-async.git",
+      "save_request_date": "2020-01-17T09:39:55.930715+00:00",
+      "save_request_status": "accepted",
+      "save_task_status": "succeeded",
+      "visit_date": "2020-01-17T09:47:20.992279+00:00",
+      "visit_status": "full"
+    },
+    {
+      "id": 6867,
+      "visit_type": "git",
+      "origin_url": "https://forge.frm2.tum.de/cgit/cgit.cgi/frm2/mira/takin-data.git/",
+      "save_request_date": "2020-01-17T07:16:54.421290+00:00",
+      "save_request_status": "accepted",
+      "save_task_status": "failed",
+      "visit_date": "2020-01-17T07:46:35.223112+00:00",
+      "visit_status": "full"
+    },
+    {
+      "id": 6866,
+      "visit_type": "git",
+      "origin_url": "https://forge.frm2.tum.de/cgit/cgit.cgi/frm2/mira/mcstas.git/",
+      "save_request_date": "2020-01-17T07:16:43.411145+00:00",
+      "save_request_status": "accepted",
+      "save_task_status": "failed",
+      "visit_date": "2020-01-17T07:46:32.710716+00:00",
+      "visit_status": "failed"
+    },
+    {
+      "id": 6865,
+      "visit_type": "git",
+      "origin_url": "https://forge.frm2.tum.de/cgit/cgit.cgi/frm2/mira/miezetools.git/",
+      "save_request_date": "2020-01-17T07:16:31.085132+00:00",
+      "save_request_status": "accepted",
+      "save_task_status": "failed",
+      "visit_date": "2020-01-17T07:46:32.634520+00:00",
+      "visit_status": "failed"
+    },
+    {
+      "id": 6864,
+      "visit_type": "git",
+      "origin_url": "https://forge.frm2.tum.de/cgit/cgit.cgi/frm2/mira/tlibs.git/",
+      "save_request_date": "2020-01-17T07:16:21.708408+00:00",
+      "save_request_status": "accepted",
+      "save_task_status": "failed",
+      "visit_date": "2020-01-17T07:46:32.542717+00:00",
+      "visit_status": "failed"
+    },
+    {
+      "id": 6863,
+      "visit_type": "git",
+      "origin_url": "https://forge.frm2.tum.de/cgit/cgit.cgi/frm2/mira/tastools.git/",
+      "save_request_date": "2020-01-17T07:15:58.076850+00:00",
+      "save_request_status": "accepted",
+      "save_task_status": "failed",
+      "visit_date": "2020-01-17T07:46:32.226750+00:00",
+      "visit_status": "full"
+    },
+    {
+      "id": 6862,
+      "visit_type": "git",
+      "origin_url": "https://github.com/openfun/flower-docker",
+      "save_request_date": "2020-01-16T15:26:05.406086+00:00",
+      "save_request_status": "accepted",
+      "save_task_status": "succeeded",
+      "visit_date": "2020-01-16T15:47:50.200655+00:00",
+      "visit_status": "full"
+    },
+    {
+      "id": 6861,
+      "visit_type": "git",
+      "origin_url": "https://gitlab.inria.fr/dsi_public/depots_officiels_inria_gitlab",
+      "save_request_date": "2020-01-16T11:27:26.916797+00:00",
+      "save_request_status": "accepted",
+      "save_task_status": "succeeded",
+      "visit_date": "2020-01-16T11:44:01.715665+00:00",
+      "visit_status": "full"
+    },
+    {
+      "id": 6860,
+      "visit_type": "git",
+      "origin_url": "https://github.com/SocialGouv/cdtn-run",
+      "save_request_date": "2020-01-16T11:23:24.933159+00:00",
+      "save_request_status": "accepted",
+      "save_task_status": "succeeded",
+      "visit_date": "2020-01-16T11:39:50.882730+00:00",
+      "visit_status": "full"
+    }
+  ]
 }
\ No newline at end of file
diff --git a/cypress/integration/origin-save.spec.js b/cypress/integration/origin-save.spec.js
--- a/cypress/integration/origin-save.spec.js
+++ b/cypress/integration/origin-save.spec.js
@@ -330,6 +330,33 @@
     });
   });
 
+  it('should not add link to browse an origin when there is no visit status', function() {
+    const originUrl = 'https://git.example.org/example.git';
+    const saveRequestData = genOriginSaveResponse({
+      saveRequestStatus: 'accepted',
+      originUrl: originUrl,
+      saveTaskStatus: 'succeeded',
+      visitDate: null,
+      visitStatus: null
+    });
+    const saveRequestsListData = {
+      'recordsTotal': 1,
+      'draw': 2,
+      'recordsFiltered': 1,
+      'data': [saveRequestData]
+    };
+    cy.intercept('/save/requests/list/**', {body: saveRequestsListData})
+      .as('saveRequestsList');
+    cy.get('#swh-origin-save-requests-list-tab').click();
+    cy.wait('@saveRequestsList');
+    cy.get('tbody tr').then(rows => {
+      const firstRowCells = rows[0].cells;
+      const tooltip = 'origin was successfully loaded, waiting for data to be available in database';
+      const expectedContent = `<span title="${tooltip}">${originUrl}</span>`;
+      expect($(firstRowCells[2]).html()).to.have.string(expectedContent);
+    });
+  });
+
   it('should display/close task info popover when clicking on the info button', function() {
     cy.intercept('/save/requests/list/**', {fixture: 'origin-save'});
     cy.intercept('/save/task/info/**', {fixture: 'save-task-info'});