Queries :: ORDER BY - Update Values In One Table With The Values In Another Using Join

I have a query with an INNER JOIN and ORDER BY that is working great. Now, using the same JOIN, I need to update values in one table with the values in another. I thought it would be simple until I learned you can't do an ORDER BY with an UPDATE. Is there another way to achieve the same result? If you remove the 'ORDER BY', the statement below doesn't produce an error but the results are not correct:

UPDATE TableA INNER JOIN TableB ON (Left(TableA.CDN,6))=(TableB.CDN)
SET TableA.HCC = TableB.HCC
WHERE TableB.HCC Like '241*' AND TableB.BBB = 'X' AND TableA.CCC = "1234" AND TableA.HCC IS NOT NULL
ORDER BY TableB.HCC, TableA.CDN;