In one general aspect, a cuff for attachment to a heart includes an attachment component configured to engage a blood pump to attach the cuff to the blood pump and a sewing ring for attachment to the heart. The sewing ring is coupled to the attachment component, and the attachment component and the sewing ring each define a central opening configured to admit an inflow cannula of a blood pump. The sewing ring comprises a member that provides rigidity to flatten a portion of a myocardium of the heart when the cuff is attached to the heart.
