Switching to synthetic oil from mineral

Question for the geniuses. And, I mean it.

My car has run on 10W30 mineral oil for every change since brand new. Most recently, I have decided to switch to synthetic oil, for the first time ever, which the technician told me was due for the next change 6500 miles later (as opposed to the regular 3500). However, a colleague of mine says that I should do an interim one-time change at 2000 miles after switching, but only this one time to get the motor accustomed to synthetic. Is this true, or not? I do not want another oil change so soon after paying extra for synthetic!

Thanks so much.

Harry S. Anchan
Calgary, AB.
Canada