Oke made the clarification on Friday in an interview with the News Agency of Nigeria (NAN) in Lagos.
The CMD was reacting to the rumour making the rounds that some health workers at the hospital took to their heels when a suspected Lassa fever patient was brought to the hospital.
"I am here to say categorically that nothing like that happened.
"As we speak, there has been no reported case of Lassa fever in Lagos State and there is nobody in our casualty or anybody brought to our casualty ward that we refuse to see.
"And we do not have anybody who has Lassa fever. We have, however, one or two patients who bleed for other reasons.
"A patient had a bleeding from the nose which is called epistaxis; that can be caused by a lot of things, including hypertension.
"The other patient just had suspected meningitis and they are in the hospital, they are being well attended to and they are improving,’’ he said.
The director said that the hospital had put a system in place in collaboration with the state Ministry of Unit of the hospital, said: "We do not run away from patients. This place is a tertiary hospital and we know what to do with all our patients.
"The case of a suspected Lassa fever patient that was brought to the hospital was attended to by our doctors and nurses.
"The patient was reviewed by a consultant physician and was also reviewed by the hospital’s clinical microbiologist.
"And right now, the patient is in the ward; he is stable and is doing well."