The invention relates to cover sleeves for pots, including flower pots. The invention arose from continuing development efforts directed toward providing cover sleeves for flower pots which are not only aesthetically pleasing but also provide functional advantages, ease of manufacture, and accommodate varying pot sizes including variances in standard sizes. The invention also arose out of continuing development efforts relating to the subject matter of commonly owned copending U.S. application Ser. No. 29/089,316, filed Jun. 12, 1998, incorporated herein by reference.