diff --git a/backend/crypt/crypt.go b/backend/crypt/crypt.go
index 1c02aaa7d..13f5f0246 100644
--- a/backend/crypt/crypt.go
+++ b/backend/crypt/crypt.go
@@ -1179,6 +1179,11 @@ func (o *ObjectInfo) Size() int64 {
 // Hash returns the selected checksum of the file
 // If no checksum is available it returns ""
 func (o *ObjectInfo) Hash(ctx context.Context, hash hash.Type) (string, error) {
+	// If the data is unchanged then the hash of the source is the
+	// hash of the object which will be uploaded
+	if o.f.opt.NoDataEncryption {
+		return o.ObjectInfo.Hash(ctx, hash)
+	}
 	var srcObj fs.Object
 	var ok bool
 	// Get the underlying object if there is one
diff --git a/backend/crypt/crypt_internal_test.go b/backend/crypt/crypt_internal_test.go
index a6eaecbc5..8cf49a396 100644
--- a/backend/crypt/crypt_internal_test.go
+++ b/backend/crypt/crypt_internal_test.go
@@ -84,6 +84,10 @@ func testObjectInfo(t *testing.T, f *Fs, wrap bool) {
 
 	// Test ObjectInfo.Hash
 	wantHash := md5.Sum(outBuf.Bytes())
+	if f.opt.NoDataEncryption {
+		// If the data isn't encrypted, the hash should be that of the plaintext
+		wantHash = md5.Sum([]byte(contents))
+	}
 	gotHash, err := src.Hash(ctx, hash.MD5)
 	require.NoError(t, err)
 	assert.Equal(t, fmt.Sprintf("%x", wantHash), gotHash)