As recently as last week, there were two new cycle sunspots. One of them however, numbered by the National Oceanic and Atmospheric Association (NOAA) as Active Region (AR) 11006, lasted for only one day. You can expect old cycle sunspots to continue to appear for a while; it is perfectly normal for the cycles to overlap. Scientists have attempted to predict exactly when the minimum of the old cycle would occur and when the new cycle would begin, but we apparently don't yet understand the solar cycle well enough to be able to do so accurately. With no science behind it, a colleague and I compared the shape of cycle 11 (a graph of sunspot number versus time) with cycle 23 (the current cycle, 24 is the new one). By eye, the cycles are very similar. IF (that's a BIG if) cycle 23 is like cycle 24, we can expect the new cycle to take off within about three months.
I have a little table of recently observed sunspots (since June) posted on http://hinode.msfc.nasa.gov. If you'd like to see the graphs of solar cycles (and more information), go to http://solarscience.msfc..../SunspotCycle.shtml. Click on the graph of "sunspot number" at the top of the page. The current cycle (23) is the very last one plotted (centered around 2001). Cycle 11 is the last one on the top plot, ending around 1880.