Cardiac T1 mapping provides valuable information on fibrosis in various cardiomyopathies. Commonly, data acquisition is restricted to a small percentage (mid-diastole) of the cardiac cycle to prevent motion artefacts. This leads to low scan efficiency and limits the achievable resolution. We present an 8s T1 mapping approach, which employs a large acquisition window (80% of the cardiac cycle) and corrects for cardiac motion using the same data. The approach was evaluated in native T1 mapping in healthy volunteers and post-contrast T1 mapping in patients. It significantly improved the precision of the obtained T1 maps while successfully minimizing cardiac motion artefacts.