diff --git a/core/connection_checker.ts b/core/connection_checker.ts
index 599da547f7b..662037a9358 100644
--- a/core/connection_checker.ts
+++ b/core/connection_checker.ts
@@ -250,8 +250,9 @@ export class ConnectionChecker implements IConnectionChecker {
         }
 
         // Don't offer to splice into a stack where the connected block is
-        // immovable.
-        if (b.targetBlock() && !b.targetBlock()!.isMovable()) {
+        // immovable, unless the block is a shadow block.
+        if (b.targetBlock() && !b.targetBlock()!.isMovable() &&
+            !b.targetBlock()!.isShadow()) {
           return false;
         }
         break;
diff --git a/tests/mocha/connection_checker_test.js b/tests/mocha/connection_checker_test.js
index 11b9545c184..918476ecefa 100644
--- a/tests/mocha/connection_checker_test.js
+++ b/tests/mocha/connection_checker_test.js
@@ -367,6 +367,31 @@ suite('Connection checker', function() {
           'Should connect two compatible stack blocks');
       });
 
+      test('Connect to unmovable shadow block', function() {
+        // Remove original test blocks.
+        this.workspace.clear();
+
+        // Add the same test blocks, but this time block B is a shadow block.
+        Blockly.Xml.domToWorkspace(Blockly.utils.xml.textToDom(`<xml xmlns="https://developers.google.com/blockly/xml">
+        <block type="text_print" id="A" x="-76" y="-112">
+          <next>
+            <shadow type="text_print" id="B" movable="false">
+            </shadow>
+          </next>
+        </block>
+        <block type="text_print" id="C" x="47" y="-118"/>
+      </xml>`), this.workspace);
+      [this.blockA, this.blockB, this.blockC] = this.workspace.getAllBlocks(true);
+
+      // Try to connect blockC into the input connection of blockA, replacing blockB.
+      // This is allowed because shadow blocks can always be replaced, even though
+      // they are unmovable.
+      chai.assert.isTrue(
+        this.checker.doDragChecks(
+          this.blockC.previousConnection, this.blockA.nextConnection, 9000),
+        'Should connect in place of a shadow block');
+      });
+
       test('Do not splice into unmovable stack', function() {
         // Try to connect blockC above blockB. It shouldn't work because B is not movable
         // and is already connected to A's nextConnection.