diff --git a/web/build.sh b/web/build.sh
index dd68090334..532c367895 100755
--- a/web/build.sh
+++ b/web/build.sh
@@ -103,9 +103,6 @@ build_tests_action() {
 
   builder_echo "Copying some files"
 
-  mkdir -p "${KEYMAN_ROOT}/web/build/test/dom/cases/core-adapter/import/core/"
-  cp "${KEYMAN_ROOT}/web/src/engine/src/core-adapter/import/core/keymancore.d.ts" "${KEYMAN_ROOT}/web/build/test/dom/cases/core-adapter/import/core/"
-
   for dir in \
     "${KEYMAN_ROOT}/web/build/test/dom/cases"/*/ \
     "${KEYMAN_ROOT}/web/build/test/integrated/" \
diff --git a/web/src/engine/build.sh b/web/src/engine/build.sh
index 2ca80f0066..2b5f6380b1 100755
--- a/web/src/engine/build.sh
+++ b/web/src/engine/build.sh
@@ -44,6 +44,7 @@ copy_deps() {
   mkdir -p "${KEYMAN_ROOT}/web/build/engine/obj/core-adapter/import/core/"
   cp "${KEYMAN_ROOT}/core/build/wasm/${BUILDER_CONFIGURATION}/src/keymancore.d.ts" "${KEYMAN_ROOT}/web/build/engine/obj/core-adapter/import/core/"
   cp "${KEYMAN_ROOT}/core/build/wasm/${BUILDER_CONFIGURATION}/src/"km-core{.js,.wasm} "${KEYMAN_ROOT}/web/build/engine/obj/core-adapter/import/core/"
+  cp "${KEYMAN_ROOT}/core/build/wasm/${BUILDER_CONFIGURATION}/src/"km-core-node{.mjs,.wasm} "${KEYMAN_ROOT}/web/build/engine/obj/core-adapter/import/core/"
 
   cp "${KEYMAN_ROOT}/common/resources/fonts/keymanweb-osk.ttf" "${KEYMAN_ROOT}/web/src/resources/osk/"
 }
diff --git a/web/src/engine/src/core-adapter/KM_Core.ts b/web/src/engine/src/core-adapter/KM_Core.ts
index 4202ef74ad..f384de786e 100644
--- a/web/src/engine/src/core-adapter/KM_Core.ts
+++ b/web/src/engine/src/core-adapter/KM_Core.ts
@@ -49,8 +49,14 @@ export class KM_Core {
     return this.km_core;
   }
 
+  private static isNode() {
+    // from https://stackoverflow.com/a/31456668
+    return (typeof process !== "undefined" && process?.versions?.node);
+  }
+
   public static async createCoreProcessor(baseurl: string): Promise<KMXCoreModule> {
-    const module = await import(baseurl + '/km-core.js');
+    const coreModuleName = this.isNode() ? 'km-core-node.mjs' : 'km-core.js';
+    const module = await import(`${baseurl}/${coreModuleName}`);
     const createCoreProcessor = module.default;
     const km_core = createCoreProcessor({
       locateFile: function (path: string, scriptDirectory: string) {
diff --git a/web/src/test/auto/dom/cases/browser/contextManager.tests.ts b/web/src/test/auto/dom/cases/browser/contextManager.tests.ts
index 49f01c7cc1..ce96c2a356 100644
--- a/web/src/test/auto/dom/cases/browser/contextManager.tests.ts
+++ b/web/src/test/auto/dom/cases/browser/contextManager.tests.ts
@@ -1,4 +1,3 @@
-// import { BrowserConfiguration, ContextManager } from 'keyman/app/browser';
 import { ContextManager } from 'keyman/app/browser';
 import { textStoreForElement } from 'keyman/engine/attachment';
 import { TextAreaElementTextStore } from 'keyman/engine/element-text-stores';
diff --git a/web/src/test/auto/dom/test_utils.ts b/web/src/test/auto/dom/test_utils.ts
index 4799520fd2..c015988707 100644
--- a/web/src/test/auto/dom/test_utils.ts
+++ b/web/src/test/auto/dom/test_utils.ts
@@ -82,15 +82,3 @@ export class DynamicElements {
     return editable.id;
   }
 }
-
-export const coreurl = '/build/engine/obj/core-adapter/import/core';
-
-export async function loadKeyboardBlob(uri: string) {
-  const response = await fetch(uri);
-  if (!response.ok) {
-    throw new Error(`HTTP ${response.status} ${response.statusText}`);
-  }
-
-  const buffer = await response.arrayBuffer();
-  return new Uint8Array(buffer);
-}
diff --git a/web/src/test/auto/dom/web-test-runner.config.mjs b/web/src/test/auto/dom/web-test-runner.config.mjs
index 01e973d011..881d428f4c 100644
--- a/web/src/test/auto/dom/web-test-runner.config.mjs
+++ b/web/src/test/auto/dom/web-test-runner.config.mjs
@@ -58,16 +58,6 @@ export default {
       // Relative, from the containing package.json
       files: ['web/build/test/dom/cases/browser/**/*.tests.mjs']
     },
-    {
-      name: 'engine/core-adapter',
-      // Relative, from the containing package.json
-      files: ['web/src/test/auto/dom/cases/core-adapter/*.tests.ts']
-    },
-    {
-      name: 'engine/core-processor',
-      // Relative, from the containing package.json
-      files: ['web/src/test/auto/dom/cases/core-processor/*.tests.ts']
-    },
     {
       name: 'engine/dom-utils',
       // Relative, from the containing package.json
diff --git a/web/src/test/auto/dom/cases/core-adapter/basic.tests.ts b/web/src/test/auto/headless/engine/core-adapter/core-adapter.tests.ts
similarity index 92%
rename from web/src/test/auto/dom/cases/core-adapter/basic.tests.ts
rename to web/src/test/auto/headless/engine/core-adapter/core-adapter.tests.ts
index b28d385911..c688214d25 100644
--- a/web/src/test/auto/dom/cases/core-adapter/basic.tests.ts
+++ b/web/src/test/auto/headless/engine/core-adapter/core-adapter.tests.ts
@@ -1,6 +1,10 @@
+/*
+ * Keyman is copyright (C) SIL Global. MIT License.
+ */
+
 import { assert } from 'chai';
 import { KM_Core, KM_CORE_STATUS } from 'keyman/engine/core-adapter';
-import { coreurl, loadKeyboardBlob } from '../../test_utils.js';
+import { coreurl, loadKeyboardBlob } from '../loadKeyboardHelper.js';
 
 // Test the KM_Core interface.
 describe('KM_Core', function () {
diff --git a/web/src/test/auto/dom/cases/core-processor/coreKeyboardProcessor.tests.ts b/web/src/test/auto/headless/engine/core-processor/coreKeyboardProcessor.tests.ts
similarity index 93%
rename from web/src/test/auto/dom/cases/core-processor/coreKeyboardProcessor.tests.ts
rename to web/src/test/auto/headless/engine/core-processor/coreKeyboardProcessor.tests.ts
index abc470cd70..dd661797c7 100644
--- a/web/src/test/auto/dom/cases/core-processor/coreKeyboardProcessor.tests.ts
+++ b/web/src/test/auto/headless/engine/core-processor/coreKeyboardProcessor.tests.ts
@@ -5,23 +5,21 @@
 import { assert } from 'chai';
 import sinon from 'sinon';
 import { KM_Core, km_core_context, km_core_keyboard, km_core_state, KM_CORE_CT, KM_CORE_STATUS, km_core_context_items } from 'keyman/engine/core-adapter';
-import { coreurl, loadKeyboardBlob } from '../../test_utils.js';
+import { coreurl, loadKeyboardBlob } from '../loadKeyboardHelper.js';
 import { Deadkey, SyntheticTextStore } from 'keyman/engine/keyboard';
 import { CoreKeyboardProcessor } from 'keyman/engine/core-processor';
 
-// TODO-web-core: These tests would run headless if we'd additionally build WASM for node
-
 describe('CoreKeyboardProcessor', function () {
-  const loadKeyboard = async function (name: string): Promise<km_core_keyboard> {
-    const blob = await loadKeyboardBlob(name)
+  const loadKeyboard = function (name: string): km_core_keyboard {
+    const blob = loadKeyboardBlob(name);
     const result = KM_Core.instance.keyboard_load_from_blob(name, blob);
     assert.equal(result.status, 0);
     assert.isOk(result.object);
     return result.object;
   };
 
-  const createState = async function (keyboardName: string): Promise<km_core_state> {
-    const keyboard = await loadKeyboard(keyboardName);
+  const createState = function (keyboardName: string): km_core_state {
+    const keyboard = loadKeyboard(keyboardName);
     const state = KM_Core.instance.state_create(keyboard, []);
     assert.equal(state.status, 0);
     assert.isOk(state.object);
@@ -52,7 +50,7 @@ describe('CoreKeyboardProcessor', function () {
     beforeEach(async function () {
       coreProcessor = new CoreKeyboardProcessor();
       await coreProcessor.init(coreurl);
-      state = await createState('/common/test/resources/keyboards/test_8568_deadkeys.kmx');
+      state = createState('/common/test/resources/keyboards/test_8568_deadkeys.kmx');
       context = KM_Core.instance.state_context(state);
       sandbox = sinon.createSandbox();
       Deadkey.ordinalSeed = 0;
@@ -133,7 +131,7 @@ describe('CoreKeyboardProcessor', function () {
     beforeEach(async function () {
       coreProcessor = new CoreKeyboardProcessor();
       await coreProcessor.init(coreurl);
-      state = await createState('/common/test/resources/keyboards/test_8568_deadkeys.kmx');
+      state = createState('/common/test/resources/keyboards/test_8568_deadkeys.kmx');
       context = KM_Core.instance.state_context(state);
     });
 
diff --git a/web/src/test/auto/headless/engine/loadKeyboardHelper.ts b/web/src/test/auto/headless/engine/loadKeyboardHelper.ts
new file mode 100644
index 0000000000..d22e3e99ba
--- /dev/null
+++ b/web/src/test/auto/headless/engine/loadKeyboardHelper.ts
@@ -0,0 +1,13 @@
+/*
+ * Keyman is copyright (C) SIL Global. MIT License.
+ */
+
+import fs from 'node:fs';
+
+const KEYMAN_ROOT = process.env['KEYMAN_ROOT'];
+export const coreurl = `${KEYMAN_ROOT}/web/build/engine/obj/core-adapter/import/core`;
+
+export function loadKeyboardBlob(filename: string) {
+  const data = fs.readFileSync(`${KEYMAN_ROOT}${filename}`, null);
+  return new Uint8Array(data);
+}