The two clubs have been in regular contact since the end of last season to explore potential transfers.
One such transfer involves Jadon Sancho, who Chelsea sent back to Manchester United on loan last month.
During their talks, Manchester United asked Chelsea about Nkunku's availability, while Chelsea inquired about a possible transfer price for Alejandro Garnacho, an Argentina winger who is currently transfer-listed.
As a result, the possibility of a swap involving these two players has been mentioned, although it remains a tentative idea at this point.
