diff --git a/src/addon/block/myoverview/components/myoverview/addon-block-myoverview.html b/src/addon/block/myoverview/components/myoverview/addon-block-myoverview.html
index 9b3cfa183..598c204f0 100644
--- a/src/addon/block/myoverview/components/myoverview/addon-block-myoverview.html
+++ b/src/addon/block/myoverview/components/myoverview/addon-block-myoverview.html
@@ -1,7 +1,7 @@
 <ion-item-divider>
     <h2>{{ 'addon.block_myoverview.pluginname' | translate }}</h2>
     <!-- Download all courses. -->
-    <div *ngIf="downloadEnabled && courses[selectedFilter] && courses[selectedFilter].length > 1 && !showFilter" class="core-button-spinner" item-end>
+    <div *ngIf="downloadCoursesEnabled && downloadEnabled && courses[selectedFilter] && courses[selectedFilter].length > 1 && !showFilter" class="core-button-spinner" item-end>
         <button *ngIf="prefetchCoursesData[selectedFilter].icon && prefetchCoursesData[selectedFilter].icon != 'spinner'" ion-button icon-only clear color="dark" (click)="prefetchCourses()">
             <core-icon [name]="prefetchCoursesData[selectedFilter].icon"></core-icon>
         </button>
@@ -36,7 +36,7 @@
         <ion-grid no-padding>
             <ion-row no-padding>
                 <ion-col *ngFor="let course of filteredCourses" no-padding col-12 col-sm-6 col-md-6 col-lg-4 col-xl-4 align-self-stretch>
-                    <core-courses-course-progress [course]="course" class="core-courseoverview" showAll="true" [showDownload]="downloadEnabled"></core-courses-course-progress>
+                    <core-courses-course-progress [course]="course" class="core-courseoverview" showAll="true" [showDownload]="downloadCourseEnabled && downloadEnabled"></core-courses-course-progress>
                 </ion-col>
             </ion-row>
         </ion-grid>
diff --git a/src/addon/block/myoverview/components/myoverview/myoverview.ts b/src/addon/block/myoverview/components/myoverview/myoverview.ts
index e577c5161..b36202f7e 100644
--- a/src/addon/block/myoverview/components/myoverview/myoverview.ts
+++ b/src/addon/block/myoverview/components/myoverview/myoverview.ts
@@ -62,11 +62,14 @@ export class AddonBlockMyOverviewComponent extends CoreBlockBaseComponent implem
     showHidden = false;
     showSelectorFilter = false;
     showSortFilter = false;
+    downloadCourseEnabled: boolean;
+    downloadCoursesEnabled: boolean;
 
     protected prefetchIconsInitialized = false;
     protected isDestroyed;
     protected downloadButtonObserver;
     protected coursesObserver;
+    protected updateSiteObserver;
     protected courseIds = [];
     protected fetchContentDefaultError = 'Error getting my overview data.';
 
@@ -96,6 +99,16 @@ export class AddonBlockMyOverviewComponent extends CoreBlockBaseComponent implem
             }
         });
 
+        this.downloadCourseEnabled = !this.coursesProvider.isDownloadCourseDisabledInSite();
+        this.downloadCoursesEnabled = !this.coursesProvider.isDownloadCoursesDisabledInSite();
+
+        // Refresh the enabled flags if site is updated.
+        this.updateSiteObserver = this.eventsProvider.on(CoreEventsProvider.SITE_UPDATED, () => {
+            this.downloadCourseEnabled = !this.coursesProvider.isDownloadCourseDisabledInSite();
+            this.downloadCoursesEnabled = !this.coursesProvider.isDownloadCoursesDisabledInSite();
+
+        }, this.sitesProvider.getCurrentSiteId());
+
         this.coursesObserver = this.eventsProvider.on(CoreCoursesProvider.EVENT_MY_COURSES_UPDATED, () => {
             this.refreshContent();
         }, this.sitesProvider.getCurrentSiteId());
@@ -336,6 +349,7 @@ export class AddonBlockMyOverviewComponent extends CoreBlockBaseComponent implem
     ngOnDestroy(): void {
         this.isDestroyed = true;
         this.coursesObserver && this.coursesObserver.off();
+        this.updateSiteObserver && this.updateSiteObserver.off();
         this.downloadButtonObserver && this.downloadButtonObserver.off();
     }
 }
diff --git a/src/core/course/pages/list-mod-type/list-mod-type.html b/src/core/course/pages/list-mod-type/list-mod-type.html
index b131fb912..7315af183 100644
--- a/src/core/course/pages/list-mod-type/list-mod-type.html
+++ b/src/core/course/pages/list-mod-type/list-mod-type.html
@@ -12,7 +12,7 @@
 
         <ion-list>
             <ng-container *ngFor="let module of modules">
-                <core-course-module *ngIf="module.visibleoncoursepage !== 0" [module]="module" [courseId]="courseId" downloadEnabled="true"></core-course-module>
+                <core-course-module *ngIf="module.visibleoncoursepage !== 0" [module]="module" [courseId]="courseId" [downloadEnabled]="downloadEnabled"></core-course-module>
             </ng-container>
         </ion-list>
     </core-loading>
diff --git a/src/core/course/pages/list-mod-type/list-mod-type.ts b/src/core/course/pages/list-mod-type/list-mod-type.ts
index 2a1694243..37220ae4a 100644
--- a/src/core/course/pages/list-mod-type/list-mod-type.ts
+++ b/src/core/course/pages/list-mod-type/list-mod-type.ts
@@ -18,6 +18,7 @@ import { CoreDomUtilsProvider } from '@providers/utils/dom';
 import { CoreCourseProvider } from '../../providers/course';
 import { CoreCourseModuleDelegate } from '../../providers/module-delegate';
 import { CoreCourseHelperProvider } from '../../providers/helper';
+import { CoreSitesProvider } from '@providers/sites';
 import { CoreConstants } from '@core/constants';
 
 /**
@@ -33,13 +34,15 @@ export class CoreCourseListModTypePage {
     modules = [];
     title: string;
     loaded = false;
+    downloadEnabled = false;
 
     protected courseId: number;
     protected modName: string;
     protected archetypes = {}; // To speed up the check of modules.
 
     constructor(navParams: NavParams, private courseProvider: CoreCourseProvider, private moduleDelegate: CoreCourseModuleDelegate,
-             private domUtils: CoreDomUtilsProvider, private courseHelper: CoreCourseHelperProvider) {
+             private domUtils: CoreDomUtilsProvider, private courseHelper: CoreCourseHelperProvider,
+             private sitesProvider: CoreSitesProvider) {
 
         this.title = navParams.get('title');
         this.courseId = navParams.get('courseId');
@@ -50,6 +53,8 @@ export class CoreCourseListModTypePage {
      * View loaded.
      */
     ionViewDidLoad(): void {
+        this.downloadEnabled = !this.sitesProvider.getCurrentSite().isOfflineDisabled();
+
         this.fetchData().finally(() => {
             this.loaded = true;
         });
diff --git a/src/core/course/pages/section/section.ts b/src/core/course/pages/section/section.ts
index 468cbf8b3..c2d67c3f1 100644
--- a/src/core/course/pages/section/section.ts
+++ b/src/core/course/pages/section/section.ts
@@ -87,7 +87,8 @@ export class CoreCourseSectionPage implements OnDestroy {
 
         // Get the title to display. We dont't have sections yet.
         this.title = courseFormatDelegate.getCourseTitle(this.course);
-        this.displayEnableDownload = courseFormatDelegate.displayEnableDownload(this.course);
+        this.displayEnableDownload = !sitesProvider.getCurrentSite().isOfflineDisabled() &&
+            courseFormatDelegate.displayEnableDownload(this.course);
         this.downloadCourseEnabled = !this.coursesProvider.isDownloadCourseDisabledInSite();
 
         // Check if the course format requires the view to be refreshed when completion changes.
diff --git a/src/core/courses/providers/courses.ts b/src/core/courses/providers/courses.ts
index 9f53303c2..c50cc9656 100644
--- a/src/core/courses/providers/courses.ts
+++ b/src/core/courses/providers/courses.ts
@@ -167,7 +167,7 @@ export class CoreCoursesProvider {
     isDownloadCourseDisabledInSite(site?: CoreSite): boolean {
         site = site || this.sitesProvider.getCurrentSite();
 
-        return site.isFeatureDisabled('NoDelegate_CoreCourseDownload');
+        return site.isOfflineDisabled() || site.isFeatureDisabled('NoDelegate_CoreCourseDownload');
     }
 
     /**
@@ -191,7 +191,7 @@ export class CoreCoursesProvider {
     isDownloadCoursesDisabledInSite(site?: CoreSite): boolean {
         site = site || this.sitesProvider.getCurrentSite();
 
-        return site.isFeatureDisabled('NoDelegate_CoreCoursesDownload');
+        return site.isOfflineDisabled() || site.isFeatureDisabled('NoDelegate_CoreCoursesDownload');
     }
 
     /**
diff --git a/src/core/sitehome/components/index/core-sitehome-index.html b/src/core/sitehome/components/index/core-sitehome-index.html
index 6472f3418..a8a1ed1bb 100644
--- a/src/core/sitehome/components/index/core-sitehome-index.html
+++ b/src/core/sitehome/components/index/core-sitehome-index.html
@@ -7,7 +7,7 @@
                 <core-format-text [text]="section.summary"></core-format-text>
             </ion-item>
 
-            <core-course-module *ngFor="let module of section.modules" [module]="module" [courseId]="siteHomeId" [downloadEnabled]="true" [section]="section"></core-course-module>
+            <core-course-module *ngFor="let module of section.modules" [module]="module" [courseId]="siteHomeId" [downloadEnabled]="downloadEnabled" [section]="section"></core-course-module>
         </ng-container>
 
         <!-- Site home items: news, categories, courses, etc. -->
diff --git a/src/core/sitehome/components/index/index.ts b/src/core/sitehome/components/index/index.ts
index c21f2b1d9..34aa44057 100644
--- a/src/core/sitehome/components/index/index.ts
+++ b/src/core/sitehome/components/index/index.ts
@@ -40,6 +40,7 @@ export class CoreSiteHomeIndexComponent implements OnInit {
     siteHomeId: number;
     currentSite: CoreSite;
     blocks = [];
+    downloadEnabled: boolean;
 
     constructor(private domUtils: CoreDomUtilsProvider, sitesProvider: CoreSitesProvider,
             private courseProvider: CoreCourseProvider, private courseHelper: CoreCourseHelperProvider,
@@ -52,6 +53,7 @@ export class CoreSiteHomeIndexComponent implements OnInit {
      * Component being initialized.
      */
     ngOnInit(): void {
+        this.downloadEnabled = !this.currentSite.isOfflineDisabled();
         this.loadContent().finally(() => {
             this.dataLoaded = true;
         });