Depends on a couple of things, primarily the overall physical measurements L x W x D after adding the latex topper as well as the materials/ construction of the covers/ encasement, you will want to consider allowance for possible shrinkage over time from washing. Also, for clarity, do the words “sheets and a cover” refer to the actual linens used for sleeping on the bed, as opposed to the words “covers/ encasement”, referring to a zippered cover for enclosing the 2" topper with your Zinus?