diff --git a/src/accessibility/KeyboardShortcuts.tsx b/src/accessibility/KeyboardShortcuts.tsx
index 2a3e576e31..1cd5408210 100644
--- a/src/accessibility/KeyboardShortcuts.tsx
+++ b/src/accessibility/KeyboardShortcuts.tsx
@@ -57,6 +57,8 @@ export enum Modifiers {
 
 // Meta-modifier: isMac ? CMD : CONTROL
 export const CMD_OR_CTRL = isMac ? Modifiers.COMMAND : Modifiers.CONTROL;
+// Meta-key representing the digits [0-9] often found at the top of standard keyboard layouts
+export const DIGITS = "digits";
 
 interface IKeybind {
     modifiers?: Modifiers[];
@@ -319,6 +321,7 @@ const alternateKeyName: Record<string, string> = {
     [Key.SPACE]: _td("Space"),
     [Key.HOME]: _td("Home"),
     [Key.END]: _td("End"),
+    [DIGITS]: _td("[number]"),
 };
 const keyIcon: Record<string, string> = {
     [Key.ARROW_UP]: "↑",
diff --git a/src/dispatcher/actions.ts b/src/dispatcher/actions.ts
index 30cb753975..6438ecc0f2 100644
--- a/src/dispatcher/actions.ts
+++ b/src/dispatcher/actions.ts
@@ -164,4 +164,9 @@ export enum Action {
      * Inserts content into the active composer. Should be used with ComposerInsertPayload
      */
     ComposerInsert = "composer_insert",
+
+    /**
+     * Switches space. Should be used with SwitchSpacePayload.
+     */
+    SwitchSpace = "switch_space",
 }
diff --git a/src/dispatcher/payloads/SwitchSpacePayload.ts b/src/dispatcher/payloads/SwitchSpacePayload.ts
new file mode 100644
index 0000000000..04eb744334
--- /dev/null
+++ b/src/dispatcher/payloads/SwitchSpacePayload.ts
@@ -0,0 +1,27 @@
+/*
+Copyright 2021 The Matrix.org Foundation C.I.C.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+    http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+*/
+
+import { ActionPayload } from "../payloads";
+import { Action } from "../actions";
+
+export interface SwitchSpacePayload extends ActionPayload {
+    action: Action.SwitchSpace;
+
+    /**
+     * The number of the space to switch to, 1-indexed, 0 is Home.
+     */
+    num: number;
+}
diff --git a/src/i18n/strings/en_EN.json b/src/i18n/strings/en_EN.json
index b88dc79da5..3f05559851 100644
--- a/src/i18n/strings/en_EN.json
+++ b/src/i18n/strings/en_EN.json
@@ -3007,5 +3007,6 @@
     "Esc": "Esc",
     "Enter": "Enter",
     "Space": "Space",
-    "End": "End"
+    "End": "End",
+    "[number]": "[number]"
 }
diff --git a/src/stores/SpaceStore.tsx b/src/stores/SpaceStore.tsx
index 40997d30a8..0d09357fc1 100644
--- a/src/stores/SpaceStore.tsx
+++ b/src/stores/SpaceStore.tsx
@@ -33,6 +33,7 @@ import {EnhancedMap, mapDiff} from "../utils/maps";
 import {setHasDiff} from "../utils/sets";
 import {ISpaceSummaryEvent, ISpaceSummaryRoom} from "../components/structures/SpaceRoomDirectory";
 import RoomViewStore from "./RoomViewStore";
+import {Action} from "../dispatcher/actions";
 
 interface IState {}
 
@@ -565,6 +566,12 @@ export class SpaceStoreClass extends AsyncStoreWithClient<IState> {
                     this.setActiveSpace(null, false);
                 }
                 break;
+            case Action.SwitchSpace:
+                if (payload.num === 0) {
+                    this.setActiveSpace(null);
+                } else if (this.spacePanelSpaces.length >= payload.num) {
+                    this.setActiveSpace(this.spacePanelSpaces[payload.num - 1]);
+                }
         }
     }