diff --git a/core/block_svg.ts b/core/block_svg.ts
index 00b3b816d44..fd3e7b9a6bd 100644
--- a/core/block_svg.ts
+++ b/core/block_svg.ts
@@ -232,9 +232,58 @@ export class BlockSvg
    * @internal
    */
   recomputeAriaLabel() {
+    if (this.initialized) {
+      const childElemIds: string[] = [];
+      for (const input of this.inputList) {
+        if (input.isVisible() && input.connection) {
+          if (input.connection.type === ConnectionType.NEXT_STATEMENT) {
+            let currentBlock: BlockSvg | null =
+              input.connection.targetBlock() as BlockSvg | null;
+            while (currentBlock) {
+              if (currentBlock.canBeFocused()) {
+                childElemIds.push(currentBlock.getBlockSvgFocusElem().id);
+              }
+              currentBlock = currentBlock.getNextBlock();
+            }
+          } else if (input.connection.type === ConnectionType.INPUT_VALUE) {
+            const inpBlock = input.connection.targetBlock() as BlockSvg | null;
+            if (inpBlock && inpBlock.canBeFocused()) {
+              childElemIds.push(inpBlock.getBlockSvgFocusElem().id);
+            }
+          }
+        }
+        for (const field of input.fieldRow) {
+          if (field.getSvgRoot() && field.canBeFocused()) {
+            // Only track the field if it's been initialized.
+            childElemIds.push(field.getFocusableElement().id);
+          }
+        }
+        for (const icon of this.icons) {
+          if (icon.canBeFocused()) {
+            childElemIds.push(icon.getFocusableElement().id);
+          }
+        }
+        for (const connection of this.getConnections_(true)) {
+          // TODO: Somehow it's possible for a connection to be highlighted but
+          // have no focusable element. This might be some sort of race
+          // condition or perhaps dispose-esque situation happening.
+          if (
+            connection.canBeFocused() &&
+            connection.isHighlighted() &&
+            connection.findHighlightSvg() !== null
+          ) {
+            childElemIds.push(connection.getFocusableElement().id);
+          }
+        }
+      }
+      aria.setState(this.getBlockSvgFocusElem(), aria.State.OWNS, childElemIds);
+    }
+
     if (this.isSimpleReporter()) {
       const field = Array.from(this.getFields())[0];
-      if (field.isFullBlockField() && field.isCurrentlyEditable()) return;
+      if (field && field.isFullBlockField() && field.isCurrentlyEditable()) {
+        return;
+      }
     }
 
     aria.setState(
@@ -244,6 +293,12 @@ export class BlockSvg
     );
   }
 
+  private getBlockSvgFocusElem(): Element {
+    // Note that this deviates from getFocusableElement() to ensure that
+    // single field blocks are properly set up in the hierarchy.
+    return this.pathObject.svgPath;
+  }
+
   private computeAriaLabel(): string {
     const {blockSummary, inputCount} = buildBlockSummary(this);
     const inputSummary = inputCount
@@ -352,6 +407,7 @@ export class BlockSvg
       this.workspace.getCanvas().appendChild(svg);
     }
     this.initialized = true;
+    this.recomputeAriaLabel();
   }
 
   /**
@@ -456,6 +512,12 @@ export class BlockSvg
     this.applyColour();
 
     this.workspace.recomputeAriaTree();
+    this.recomputeAriaLabelRecursive();
+  }
+
+  private recomputeAriaLabelRecursive() {
+    this.recomputeAriaLabel();
+    this.parentBlock_?.recomputeAriaLabelRecursive();
   }
 
   /**
diff --git a/core/rendered_connection.ts b/core/rendered_connection.ts
index bbf32006bc8..5f305fdc271 100644
--- a/core/rendered_connection.ts
+++ b/core/rendered_connection.ts
@@ -362,6 +362,8 @@ export class RenderedConnection
         aria.setState(highlightSvg, aria.State.LABEL, 'Open connection');
       }
     }
+
+    this.sourceBlock_.recomputeAriaLabel();
   }
 
   /** Remove the highlighting around this connection. */
@@ -373,6 +375,8 @@ export class RenderedConnection
     if (highlightSvg) {
       highlightSvg.style.display = 'none';
     }
+
+    this.sourceBlock_.recomputeAriaLabel();
   }
 
   /** Returns true if this connection is highlighted, false otherwise. */
@@ -688,7 +692,8 @@ export class RenderedConnection
     return true;
   }
 
-  private findHighlightSvg(): SVGPathElement | null {
+  // TODO: Figure out how to make this private again.
+  findHighlightSvg(): SVGPathElement | null {
     // This cast is valid as TypeScript's definition is wrong. See:
     // https://github.com/microsoft/TypeScript/issues/60996.
     return document.getElementById(this.id) as