Is 1 hour enough to connect to Amsterdam Schipol from London Heathrow?

We are flying from San Francisco to Amsterdam Schipol and will be stopping over in Heathrow via British Airways. There is exactly 1 hour from landing to when we have to be boarded onto the next plane onto Amsterdam. I've never flown to Heathrow before and am unfamiliar with the airport layout. Will we have to run for it as soon as we get off the plane and head from the international terminal to the domestic terminal? Or should I play it safe and try to change flight times?