diff --git a/client/modules/datafiles/src/DatafilesToolbar/DatafilesToolbar.tsx b/client/modules/datafiles/src/DatafilesToolbar/DatafilesToolbar.tsx
index 3bc79721e1..15689d9984 100644
--- a/client/modules/datafiles/src/DatafilesToolbar/DatafilesToolbar.tsx
+++ b/client/modules/datafiles/src/DatafilesToolbar/DatafilesToolbar.tsx
@@ -83,6 +83,11 @@ export const DatafilesToolbar: React.FC<{ searchInput?: React.ReactNode }> = ({
 
   const rules = useMemo(
     function () {
+      // Check if none of the selected files end with `.hazmapper`.
+      const notContainingHazmapperFile = selectedFiles.every(
+        (file) => !file.path.endsWith('.hazmapper')
+      );
+
       // Rules for which toolbar buttons are active for a given selection.
       return {
         canPreview:
@@ -91,21 +96,24 @@ export const DatafilesToolbar: React.FC<{ searchInput?: React.ReactNode }> = ({
           user &&
           selectedFiles.length === 1 &&
           !isReadOnly &&
-          !selectedFiles[0].path.endsWith('.hazmapper'),
+          notContainingHazmapperFile,
         canCopy:
+          user && selectedFiles.length >= 1 && notContainingHazmapperFile,
+        canMove:
           user &&
           selectedFiles.length >= 1 &&
-          !selectedFiles[0].path.endsWith('.hazmapper'),
+          !isReadOnly &&
+          notContainingHazmapperFile,
         canTrash:
           user &&
           selectedFiles.length >= 1 &&
           !isReadOnly &&
-          !selectedFiles[0].path.endsWith('.hazmapper'),
+          notContainingHazmapperFile,
         // Disable downloads from frontera.work until we have a non-flaky mount on ds-download.
         canDownload:
           selectedFiles.length >= 1 &&
           system !== USER_WORK_SYSTEM &&
-          !selectedFiles[0].path.endsWith('.hazmapper'),
+          notContainingHazmapperFile,
       };
     },
     [selectedFiles, isReadOnly, user, system]
@@ -138,7 +146,7 @@ export const DatafilesToolbar: React.FC<{ searchInput?: React.ReactNode }> = ({
           {({ onClick }) => (
             <ToolbarButton
               onClick={onClick}
-              disabled={!rules.canRename}
+              disabled={!rules.canMove}
               className={styles.toolbarButton}
             >
               <i role="none" className="fa fa-arrows" />