diff --git a/core/bubbles/mini_workspace_bubble.ts b/core/bubbles/mini_workspace_bubble.ts
index f6ea60936..194cb41f3 100644
--- a/core/bubbles/mini_workspace_bubble.ts
+++ b/core/bubbles/mini_workspace_bubble.ts
@@ -153,7 +153,11 @@ export class MiniWorkspaceBubble extends Bubble {
    * are dealt with by resizing the workspace to show them.
    */
   private bumpBlocksIntoBounds() {
-    if (this.miniWorkspace.isDragging()) return;
+    if (
+      this.miniWorkspace.isDragging() &&
+      !this.miniWorkspace.keyboardMoveInProgress
+    )
+      return;
 
     const MARGIN = 20;
 
@@ -185,7 +189,15 @@ export class MiniWorkspaceBubble extends Bubble {
    * mini workspace.
    */
   private updateBubbleSize() {
-    if (this.miniWorkspace.isDragging()) return;
+    if (
+      this.miniWorkspace.isDragging() &&
+      !this.miniWorkspace.keyboardMoveInProgress
+    )
+      return;
+
+    // Disable autolayout if a keyboard move is in progress to prevent the
+    // mutator bubble from jumping around.
+    this.autoLayout &&= !this.miniWorkspace.keyboardMoveInProgress;
 
     const currSize = this.getSize();
     const newSize = this.calculateWorkspaceSize();
diff --git a/core/icons/mutator_icon.ts b/core/icons/mutator_icon.ts
index 1842855fa..9055a91ea 100644
--- a/core/icons/mutator_icon.ts
+++ b/core/icons/mutator_icon.ts
@@ -14,7 +14,6 @@ import {BlockChange} from '../events/events_block_change.js';
 import {isBlockChange, isBlockCreate} from '../events/predicates.js';
 import {EventType} from '../events/type.js';
 import * as eventUtils from '../events/utils.js';
-import type {IBubble} from '../interfaces/i_bubble.js';
 import type {IHasBubble} from '../interfaces/i_has_bubble.js';
 import * as renderManagement from '../render_management.js';
 import {Coordinate} from '../utils/coordinate.js';
@@ -205,7 +204,7 @@ export class MutatorIcon extends Icon implements IHasBubble {
   }
 
   /** See IHasBubble.getBubble. */
-  getBubble(): IBubble | null {
+  getBubble(): MiniWorkspaceBubble | null {
     return this.miniWorkspaceBubble;
   }
 
diff --git a/core/keyboard_nav/icon_navigation_policy.ts b/core/keyboard_nav/icon_navigation_policy.ts
index 96908cbbd..70631ce81 100644
--- a/core/keyboard_nav/icon_navigation_policy.ts
+++ b/core/keyboard_nav/icon_navigation_policy.ts
@@ -5,7 +5,9 @@
  */
 
 import {BlockSvg} from '../block_svg.js';
+import {getFocusManager} from '../focus_manager.js';
 import {Icon} from '../icons/icon.js';
+import {MutatorIcon} from '../icons/mutator_icon.js';
 import type {IFocusableNode} from '../interfaces/i_focusable_node.js';
 import type {INavigationPolicy} from '../interfaces/i_navigation_policy.js';
 import {navigateBlock} from './block_navigation_policy.js';
@@ -17,10 +19,18 @@ export class IconNavigationPolicy implements INavigationPolicy<Icon> {
   /**
    * Returns the first child of the given icon.
    *
-   * @param _current The icon to return the first child of.
+   * @param current The icon to return the first child of.
    * @returns Null.
    */
-  getFirstChild(_current: Icon): IFocusableNode | null {
+  getFirstChild(current: Icon): IFocusableNode | null {
+    if (
+      current instanceof MutatorIcon &&
+      current.bubbleIsVisible() &&
+      getFocusManager().getFocusedNode() === current
+    ) {
+      return current.getBubble()?.getWorkspace() ?? null;
+    }
+
     return null;
   }
 
diff --git a/core/keyboard_nav/workspace_navigation_policy.ts b/core/keyboard_nav/workspace_navigation_policy.ts
index 12a7555b4..b671f8fe7 100644
--- a/core/keyboard_nav/workspace_navigation_policy.ts
+++ b/core/keyboard_nav/workspace_navigation_policy.ts
@@ -62,7 +62,7 @@ export class WorkspaceNavigationPolicy
    * @returns True if the given workspace can be focused.
    */
   isNavigable(current: WorkspaceSvg): boolean {
-    return current.canBeFocused();
+    return current.canBeFocused() && !current.isMutator;
   }
 
   /**
diff --git a/core/navigator.ts b/core/navigator.ts
index 92c921122..77bb64cd8 100644
--- a/core/navigator.ts
+++ b/core/navigator.ts
@@ -64,9 +64,8 @@ export class Navigator {
   getFirstChild(current: IFocusableNode): IFocusableNode | null {
     const result = this.get(current)?.getFirstChild(current);
     if (!result) return null;
-    // If the child isn't navigable, don't traverse into it; check its peers.
     if (!this.get(result)?.isNavigable(result)) {
-      return this.getNextSibling(result);
+      return this.getFirstChild(result) || this.getNextSibling(result);
     }
     return result;
   }
diff --git a/core/workspace_svg.ts b/core/workspace_svg.ts
index 9eb5ea545..552d37061 100644
--- a/core/workspace_svg.ts
+++ b/core/workspace_svg.ts
@@ -41,6 +41,7 @@ import type {FlyoutButton} from './flyout_button.js';
 import {getFocusManager} from './focus_manager.js';
 import {Gesture} from './gesture.js';
 import {Grid} from './grid.js';
+import {MutatorIcon} from './icons/mutator_icon.js';
 import {isAutoHideable} from './interfaces/i_autohideable.js';
 import type {IBoundedElement} from './interfaces/i_bounded_element.js';
 import {IContextMenu} from './interfaces/i_contextmenu.js';
@@ -2680,7 +2681,7 @@ export class WorkspaceSvg
 
   /** See IFocusableNode.getFocusableTree. */
   getFocusableTree(): IFocusableTree {
-    return this;
+    return (this.isMutator && this.options.parentWorkspace) || this;
   }
 
   /** See IFocusableNode.onNodeFocus. */
@@ -2710,7 +2711,22 @@ export class WorkspaceSvg
 
   /** See IFocusableTree.getNestedTrees. */
   getNestedTrees(): Array<IFocusableTree> {
-    return [];
+    const nestedWorkspaces = this.getAllBlocks()
+      .map((block) => block.getIcons())
+      .flat()
+      .filter(
+        (icon): icon is MutatorIcon =>
+          icon instanceof MutatorIcon && icon.bubbleIsVisible(),
+      )
+      .map((icon) => icon.getBubble()?.getWorkspace())
+      .filter((workspace) => !!workspace);
+
+    const ownFlyout = this.getFlyout(true);
+    if (ownFlyout) {
+      nestedWorkspaces.push(ownFlyout.getWorkspace());
+    }
+
+    return nestedWorkspaces;
   }
 
   /** See IFocusableTree.lookUpFocusableNode. */