"The majority of the threat we are facing does not appear to be directed from overseas," Dick told the BBC broadcaster, although stressing that there was "an international dimension" in three recent attacks in the United Kingdom.
Dick added that arming more police officers would not be the right response to the threat at the moment.
The United Kingdom has been hit with a series of terrorist attacks since the beginning of the year. The most recent incident took place on Saturday evening, when a three men driving a vehicle struck pedestrians on London Bridge before continuing in the direction of Borough Market. The three men then exited the vehicle and carried out a stabbing attack at the market. The attackers were confronted by the police and shot dead within minutes.
Two weeks ago, on May 22, a deadly blast occurred at the entrance to Manchester Arena at the end of US singer Ariana Grande's concert, claiming the lives of at least 22 and injuring almost 120 others.
