We present a Kalman filter for combining dUT1 from the VLBI Intensive sessions with GNSS results for rapid estimation of dUT1. In order to be able to also combine polar motion, pre-reduced normal equations for the Intensive sessions are used in the Kalman filter. We validate our results by comparing with dUT1 estimates from standard global 24-h VLBI sessions. It is found that the Kalman filter is able to use the polar motion measured by GNSS to properly correct the errors in dUT1 caused by inaccurate a priori polar motion. Furthermore, we investigate how the coordinates of the Tsukuba VLBI station can be handled in the analysis after the Tōhoku (Japan) Earthquake in 2011.