The West Midlands Police said two persons were stopped and questioned before being turned away from the hospital overnight.
"Two well-wishers arrived at the Queen Elizabeth Hospital, Birmingham overnight wishing to see Malala Yousafzai.
"They were stopped in a public area of the hospital and questioned by police, who recorded their details and advised the pair that they would not be allowed to see her," police said in a statement.
With the Taliban claiming responsibility for the attack on her and stating that they would not hesitate to attack her again, top priority is being given to the girl's security.
Police also said that no arrests had been made at the hospital and at no point was there any threat to Malala.