MR-guided High Intensity Focused Ultrasound (MR-HIFU) is a method that allows non-invasive heating of lesions to well-controlled ablative or hyperthermic temperatures. Control of acoustic power and focus position is achieved using a feedback based on MR thermometry. Local hyperthermia can be used as a trigger for image guided drug delivery using temperature sensitive liposomes co-encapsulating doxorubicin and MR contrast agent. The challenge is to acquire both temperature and R1-maps during hyperthermia dynamically. We investigated a novel MR method interleaving both acquisitions, with their own temporal resolution, without compromising temperature feedback showing a gradually increase of contrast agent inside rat tumors.