diff --git a/src/js/media/controllers/audio-details.js b/src/js/media/controllers/audio-details.js
index 07fb99029f9a0..e53d381ebc412 100644
--- a/src/js/media/controllers/audio-details.js
+++ b/src/js/media/controllers/audio-details.js
@@ -21,6 +21,7 @@ AudioDetails = State.extend(/** @lends wp.media.controller.AudioDetails.prototyp
 		content: 'audio-details',
 		menu: 'audio-details',
 		router: false,
+		uploader: false,
 		priority: 60
 	},
 
diff --git a/src/js/media/controllers/cropper.js b/src/js/media/controllers/cropper.js
index 0921839224eb0..cef778336816a 100644
--- a/src/js/media/controllers/cropper.js
+++ b/src/js/media/controllers/cropper.js
@@ -20,6 +20,7 @@ Cropper = wp.media.controller.State.extend(/** @lends wp.media.controller.Croppe
 		toolbar:     'crop',
 		content:     'crop',
 		router:      false,
+		uploader:    false,
 		canSkipCrop: false,
 
 		// Default doCrop Ajax arguments to allow the Customizer (for example) to inject state.
diff --git a/src/js/media/controllers/edit-image.js b/src/js/media/controllers/edit-image.js
index 828cec6aaaa22..6e9859b34d3d9 100644
--- a/src/js/media/controllers/edit-image.js
+++ b/src/js/media/controllers/edit-image.js
@@ -28,7 +28,8 @@ EditImage = wp.media.controller.State.extend(/** @lends wp.media.controller.Edit
 		menu:    false,
 		toolbar: 'edit-image',
 		content: 'edit-image',
-		url:     ''
+		url:     '',
+		uploader: false
 	},
 
 	/**
diff --git a/src/js/media/controllers/embed.js b/src/js/media/controllers/embed.js
index e485260cc5fe3..e2c243b9097e9 100644
--- a/src/js/media/controllers/embed.js
+++ b/src/js/media/controllers/embed.js
@@ -33,6 +33,7 @@ Embed = wp.media.controller.State.extend(/** @lends wp.media.controller.Embed.pr
 		menu:     'default',
 		toolbar:  'main-embed',
 		priority: 120,
+		uploader: false,
 		type:     'link',
 		url:      '',
 		metadata: {}
diff --git a/src/js/media/controllers/image-details.js b/src/js/media/controllers/image-details.js
index e2bd41f47da0e..3ab4f7b7337a3 100644
--- a/src/js/media/controllers/image-details.js
+++ b/src/js/media/controllers/image-details.js
@@ -38,6 +38,7 @@ ImageDetails = State.extend(/** @lends wp.media.controller.ImageDetails.prototyp
 		router:   false,
 		toolbar:  'image-details',
 		editing:  false,
+		uploader: false,
 		priority: 60
 	}, Library.prototype.defaults ),
 
diff --git a/src/js/media/controllers/video-details.js b/src/js/media/controllers/video-details.js
index d54fcdbfa829b..5cc9f52121b69 100644
--- a/src/js/media/controllers/video-details.js
+++ b/src/js/media/controllers/video-details.js
@@ -21,6 +21,7 @@ VideoDetails = State.extend(/** @lends wp.media.controller.VideoDetails.prototyp
 		content: 'video-details',
 		menu: 'video-details',
 		router: false,
+		uploader: false,
 		priority: 60
 	},
 
diff --git a/src/js/media/views/uploader/window.js b/src/js/media/views/uploader/window.js
index 0cd97f7c9dd76..24e904bcf1ec2 100644
--- a/src/js/media/views/uploader/window.js
+++ b/src/js/media/views/uploader/window.js
@@ -55,7 +55,7 @@ UploaderWindow = wp.media.View.extend(/** @lends wp.media.view.UploaderWindow.pr
 
 	ready: function() {
 		var postId = wp.media.view.settings.post.id,
-			dropzone;
+			dropzone, blockDrop;
 
 		// If the uploader already exists, bail.
 		if ( this.uploader ) {
@@ -71,9 +71,46 @@ UploaderWindow = wp.media.View.extend(/** @lends wp.media.view.UploaderWindow.pr
 		dropzone.on( 'dropzone:enter', _.bind( this.show, this ) );
 		dropzone.on( 'dropzone:leave', _.bind( this.hide, this ) );
 
+		// Ignore files dragged onto states that don't support uploading, e.g. cropping.
+		// Listen in the capture phase to run before the uploader's own drag and drop handlers.
+		blockDrop = _.bind( this.blockDrop, this );
+		dropzone.each( function() {
+			var element = this;
+
+			_.each( [ 'dragenter', 'dragover', 'drop' ], function( type ) {
+				element.addEventListener( type, blockDrop, true );
+			} );
+		} );
+
 		$( this.uploader ).on( 'uploader:ready', _.bind( this._ready, this ) );
 	},
 
+	/**
+	 * Prevents dropping files when the current state doesn't support uploading.
+	 *
+	 * States opt out of uploading by setting their `uploader` attribute to false.
+	 *
+	 * @since 7.2.0
+	 *
+	 * @param {DragEvent} event The drag event.
+	 */
+	blockDrop: function( event ) {
+		var state = this.controller.state();
+
+		if ( ! state || false !== state.get( 'uploader' ) ) {
+			return;
+		}
+
+		// Only block files; other content, such as text, can still be dragged.
+		if ( ! event.dataTransfer || -1 === _.indexOf( event.dataTransfer.types, 'Files' ) ) {
+			return;
+		}
+
+		event.stopPropagation();
+		event.preventDefault();
+		event.dataTransfer.dropEffect = 'none';
+	},
+
 	_ready: function() {
 		this.controller.trigger( 'uploader:ready' );
 	},