diff --git a/awx/ui_next/src/screens/ExecutionEnvironment/ExecutionEnvironmentEdit/ExecutionEnvironmentEdit.jsx b/awx/ui_next/src/screens/ExecutionEnvironment/ExecutionEnvironmentEdit/ExecutionEnvironmentEdit.jsx
index ea4943b2da..6c66f84170 100644
--- a/awx/ui_next/src/screens/ExecutionEnvironment/ExecutionEnvironmentEdit/ExecutionEnvironmentEdit.jsx
+++ b/awx/ui_next/src/screens/ExecutionEnvironment/ExecutionEnvironmentEdit/ExecutionEnvironmentEdit.jsx
@@ -37,6 +37,7 @@ function ExecutionEnvironmentEdit({ executionEnvironment }) {
             submitError={submitError}
             onCancel={handleCancel}
             me={me || {}}
+            isOrgLookupDisabled
           />
         )}
       </Config>
diff --git a/awx/ui_next/src/screens/ExecutionEnvironment/shared/ExecutionEnvironmentForm.jsx b/awx/ui_next/src/screens/ExecutionEnvironment/shared/ExecutionEnvironmentForm.jsx
index bb2a8977fa..30cc2bb350 100644
--- a/awx/ui_next/src/screens/ExecutionEnvironment/shared/ExecutionEnvironmentForm.jsx
+++ b/awx/ui_next/src/screens/ExecutionEnvironment/shared/ExecutionEnvironmentForm.jsx
@@ -1,9 +1,9 @@
-import React, { useCallback, useEffect } from 'react';
-import { func, shape } from 'prop-types';
+import React, { useCallback, useEffect, useRef } from 'react';
+import { func, shape, bool } from 'prop-types';
 import { Formik, useField, useFormikContext } from 'formik';
 import { withI18n } from '@lingui/react';
 import { t } from '@lingui/macro';
-import { Form, FormGroup } from '@patternfly/react-core';
+import { Form, FormGroup, Tooltip } from '@patternfly/react-core';
 
 import { ExecutionEnvironmentsAPI } from '../../../api';
 import CredentialLookup from '../../../components/Lookup/CredentialLookup';
@@ -22,6 +22,7 @@ function ExecutionEnvironmentFormFields({
   me,
   options,
   executionEnvironment,
+  isOrgLookupDisabled,
 }) {
   const [credentialField, credentialMeta, credentialHelpers] = useField(
     'credential'
@@ -33,6 +34,8 @@ function ExecutionEnvironmentFormFields({
       required(i18n._(t`Select a value for this field`), i18n),
   });
 
+  const isGloballyAvailable = useRef(!organizationField.value);
+
   const { setFieldValue } = useFormikContext();
 
   const onCredentialChange = useCallback(
@@ -61,6 +64,30 @@ function ExecutionEnvironmentFormFields({
     ([value, label]) => ({ value, label, key: value })
   );
 
+  const renderOrganizationLookup = () => {
+    return (
+      <OrganizationLookup
+        helperTextInvalid={organizationMeta.error}
+        isValid={!organizationMeta.touched || !organizationMeta.error}
+        onBlur={() => organizationHelpers.setTouched()}
+        onChange={onOrganizationChange}
+        value={organizationField.value}
+        required={!me.is_superuser}
+        helperText={
+          me?.is_superuser &&
+          ((!isOrgLookupDisabled && isGloballyAvailable) ||
+            organizationField.value === null)
+            ? i18n._(
+                t`Leave this field blank to make the execution environment globally available.`
+              )
+            : null
+        }
+        autoPopulate={!me?.is_superuser ? !executionEnvironment?.id : null}
+        isDisabled={!!isOrgLookupDisabled && isGloballyAvailable.current}
+      />
+    );
+  };
+
   return (
     <>
       <FormField
@@ -107,22 +134,17 @@ function ExecutionEnvironmentFormFields({
         name="description"
         type="text"
       />
-      <OrganizationLookup
-        helperTextInvalid={organizationMeta.error}
-        isValid={!organizationMeta.touched || !organizationMeta.error}
-        onBlur={() => organizationHelpers.setTouched()}
-        onChange={onOrganizationChange}
-        value={organizationField.value}
-        required={!me.is_superuser}
-        helperText={
-          me?.is_superuser
-            ? i18n._(
-                t`Leave this field blank to make the execution environment globally available.`
-              )
-            : null
-        }
-        autoPopulate={!me?.is_superuser ? !executionEnvironment?.id : null}
-      />
+      {isOrgLookupDisabled && isGloballyAvailable.current ? (
+        <Tooltip
+          content={i18n._(
+            t`Globally available execution environment can not be reassigned to a specific Organization`
+          )}
+        >
+          {renderOrganizationLookup()}
+        </Tooltip>
+      ) : (
+        renderOrganizationLookup()
+      )}
 
       <CredentialLookup
         label={i18n._(t`Registry credential`)}
@@ -146,6 +168,7 @@ function ExecutionEnvironmentForm({
   onCancel,
   submitError,
   me,
+  isOrgLookupDisabled,
   ...rest
 }) {
   const {
@@ -191,6 +214,7 @@ function ExecutionEnvironmentForm({
               me={me}
               options={options}
               executionEnvironment={executionEnvironment}
+              isOrgLookupDisabled={isOrgLookupDisabled}
               {...rest}
             />
             {submitError && <FormSubmitError error={submitError} />}
@@ -210,11 +234,13 @@ ExecutionEnvironmentForm.propTypes = {
   onCancel: func.isRequired,
   onSubmit: func.isRequired,
   submitError: shape({}),
+  isOrgLookupDisabled: bool,
 };
 
 ExecutionEnvironmentForm.defaultProps = {
   executionEnvironment: {},
   submitError: null,
+  isOrgLookupDisabled: false,
 };
 
 export default withI18n()(ExecutionEnvironmentForm);
diff --git a/awx/ui_next/src/screens/ExecutionEnvironment/shared/ExecutionEnvironmentForm.test.jsx b/awx/ui_next/src/screens/ExecutionEnvironment/shared/ExecutionEnvironmentForm.test.jsx
index e31390cd1b..eab62ce089 100644
--- a/awx/ui_next/src/screens/ExecutionEnvironment/shared/ExecutionEnvironmentForm.test.jsx
+++ b/awx/ui_next/src/screens/ExecutionEnvironment/shared/ExecutionEnvironmentForm.test.jsx
@@ -29,6 +29,45 @@ const executionEnvironment = {
       '/api/v2/execution_environments/16/unified_job_templates/',
     credential: '/api/v2/credentials/4/',
   },
+  summary_fields: {
+    organization: {
+      id: 1,
+      name: 'Default',
+      description: '',
+    },
+    credential: {
+      id: 4,
+      name: 'Container Registry',
+      description: '',
+      kind: 'registry',
+      cloud: false,
+      kubernetes: false,
+      credential_type_id: 17,
+    },
+  },
+  created: '2020-09-17T16:06:57.346128Z',
+  modified: '2020-09-17T16:06:57.346147Z',
+  description: 'A simple EE',
+  organization: 1,
+  image: 'https://registry.com/image/container',
+  managed_by_tower: false,
+  credential: 4,
+};
+
+const globallyAvailableEE = {
+  id: 17,
+  name: 'GEE',
+  type: 'execution_environment',
+  pull: 'one',
+  url: '/api/v2/execution_environments/17/',
+  related: {
+    created_by: '/api/v2/users/1/',
+    modified_by: '/api/v2/users/1/',
+    activity_stream: '/api/v2/execution_environments/16/activity_stream/',
+    unified_job_templates:
+      '/api/v2/execution_environments/16/unified_job_templates/',
+    credential: '/api/v2/credentials/4/',
+  },
   summary_fields: {
     credential: {
       id: 4,
@@ -180,4 +219,55 @@ describe('<ExecutionEnvironmentForm/>', () => {
     wrapper.find('button[aria-label="Cancel"]').invoke('onClick')();
     expect(onCancel).toBeCalled();
   });
+
+  test('globally available EE can not have organization reassigned', async () => {
+    let newWrapper;
+    await act(async () => {
+      newWrapper = mountWithContexts(
+        <ExecutionEnvironmentForm
+          onCancel={onCancel}
+          onSubmit={onSubmit}
+          executionEnvironment={globallyAvailableEE}
+          options={mockOptions}
+          me={mockMe}
+          isOrgLookupDisabled
+        />
+      );
+    });
+    await waitForElement(newWrapper, 'ContentLoading', el => el.length === 0);
+    expect(newWrapper.find('OrganizationLookup').prop('isDisabled')).toEqual(
+      true
+    );
+    expect(newWrapper.find('Tooltip').prop('content')).toEqual(
+      'Globally available execution environment can not be reassigned to a specific Organization'
+    );
+  });
+
+  test('should allow an organization to be re-assigned as globally available EE', async () => {
+    let newWrapper;
+    await act(async () => {
+      newWrapper = mountWithContexts(
+        <ExecutionEnvironmentForm
+          onCancel={onCancel}
+          onSubmit={onSubmit}
+          executionEnvironment={executionEnvironment}
+          options={mockOptions}
+          me={mockMe}
+          isOrgLookupDisabled
+        />
+      );
+    });
+    await waitForElement(newWrapper, 'ContentLoading', el => el.length === 0);
+    expect(newWrapper.find('OrganizationLookup').prop('isDisabled')).toEqual(
+      false
+    );
+    expect(newWrapper.find('Tooltip').length).toEqual(0);
+
+    await act(async () => {
+      newWrapper.find('OrganizationLookup').invoke('onBlur')();
+      newWrapper.find('OrganizationLookup').invoke('onChange')(null);
+    });
+    newWrapper.update();
+    expect(newWrapper.find('OrganizationLookup').prop('value')).toEqual(null);
+  });
 });