The Centers for Disease Control and Prevention said Sunday that the agency would take new steps to help hospital workers protect themselves, providing more training and urging hospitals to run drills to practice dealing with potential Ebola patients.

In response to the news that a health care worker in Dallas had contracted Ebola, a spokeswoman said the agency would also issue more specific instructions and explanations for putting on and removing protective equipment and would urge nurses and doctors to enlist a co-worker or “buddy” to watch them do so.