My understanding is that the satellite-broadcasted ephemeris is only good for a few hours. If you turn your Tomtom back on within those few hours, you reacquire signal in 10-30 seconds.
I'm not sure what a "few hours" is, but it certainly is less than an 8-hour work day. My experience is that without quickgpsfix, the signal lock takes about 3-5 minutes on average if the device has been off for a few hours.
That would seem to imply that your TomTom receiver is not saving the orbital data for all of the satellites (the "almanac") that each satellite broadcasts on a regular basis. That sounds like either a bug or a design flaw.
/Don