Philip Hampton told investors that executives had spoken to lawyers in the wake of the decision by American regulators to charge the controversial investment bank with fraud.
The charges concern a complex investment portfolio related to sub-prime property on which RBS lost around 553 million.
It's alleged Goldman failed to disclose that the choice of the investments was influenced by a hedge fund that was betting that some would fall in value.
RBS has previously declined to comment. Mr Hampton told the bank's general meeting it was "digesting the implications".