Asked whether it was fair that former Care Quality Commission chief executive Cynthia Bower keeps her pension despite her involvement in the alleged cover-up, the Health Secretary said: "I know the CQC are looking at what sanctions they have against people who may have been involved".
Jeremy Hunt added that people should face "serious consequences" if it is proved they were involved in any cover-up:
He also said that he would back CQC "to the hilt" if they decided to take any action against those allegedly involved.
Parents of a baby girl, who died at one-day-old, have said they are "sickened" they were not told of earlier failings at Furness Hospital.
The health watchdog has named the individuals accused of allegedly covering up its failure to investigate at a Cumbria maternity unit.
Cynthia Bower has been named as one of the individuals allegedly involved in the hospital deaths inquiry 'cover-up'.