Quantitative parameter maps obtained from Magnetic Resonance Fingerprinting (MRF) are sensitive to B1+ inhomogeneities. Extending a dictionary by an additional B1+ dimension is a promising approach to account for this. In order to improve the differentiation of data in the B1+ dimension, we implemented a novel B1+ sensitive encoding. This approach employs the extension of the conventional FISP encoding by RF spoiled parts. Since high undersampling factors prevent a direct implementation of this technique, the undersampling pattern is varied during the acquisition. We use a spiral acquisition scheme which samples most of the FISP encoded parts of the fingerprint with high resolution. RF spoiled parts as well as a small fraction of the FISP encoded parts are being sampled with low resolution.