diff --git a/blocks/api/paste/index.js b/blocks/api/paste/index.js
index 697a963c828b7..a8721465f1edf 100644
--- a/blocks/api/paste/index.js
+++ b/blocks/api/paste/index.js
@@ -19,7 +19,7 @@ import msListConverter from './ms-list-converter';
import listMerger from './list-merger';
import imageCorrector from './image-corrector';
import blockquoteNormaliser from './blockquote-normaliser';
-import { deepFilter, isInvalidInline, isNotWhitelisted, isPlain } from './utils';
+import { deepFilter, isInvalidInline, isNotWhitelisted, isPlain, isInline } from './utils';
import showdown from 'showdown';
export default function( { HTML, plainText, inline } ) {
@@ -50,7 +50,7 @@ export default function( { HTML, plainText, inline } ) {
formattingTransformer,
stripAttributes,
commentRemover,
- createUnwrapper( isNotWhitelisted ),
+ createUnwrapper( ( node ) => isNotWhitelisted( node ) || ( inline && ! isInline( node ) ) ),
blockquoteNormaliser,
] );
diff --git a/blocks/api/paste/test/index.js b/blocks/api/paste/test/index.js
index 6f7d1e53f9588..2eacda7a389d8 100644
--- a/blocks/api/paste/test/index.js
+++ b/blocks/api/paste/test/index.js
@@ -68,6 +68,15 @@ describe( 'paste', () => {
equal( pastedBlock.name, 'test/unknown' );
equal( pastedBlock.attributes.content, '