what brand oil filter are you using? If you're using fram, CHANGE IT!
If you have to use a fram, only use the tough guard, the rest are junk.
Use Wix, Purolator, AC Delco, Napa, Baldwin, etc...
I'll bet the oil filter is plugged and is in bypass, which takes a bit of time to fully open up when cold.
in fram's case, the backing plate slips because it's held on with elmer's white glue, once it slips, the filter can't bypass and it can't filter, it simply passes oil through after the oil pump is able to push oil past it at a steady pace.