Tempurpedic beds do require special sheets. The sheets will be able to fit the tempurpedic bed compared to the other normal sheets. These sheets are also guaranteed to be long lasting, and are made to fit all models of tempurpedic mattresses. Visit www.tempurpedicmattress.org/tempurpedic-bed-sheets.html for more details.
Look at your sheets. Then look at the mattress. See if they will fit. Then you will know. It is just like shoes and socks: you put the socks on first. If you put the shoes on first, you know right away if the socks will fit.