Owner Massimo Cellino sacked Hockaday after just 70 days in charge, but Milanic has insisted that he is unfazed by the pressure on his shoulders.
"[Cellino] told me my job is to make the squad better and be prepared to play in the Premier League," Milanic told reporters. "I have no timescale. I have to do a great job as soon as possible. I know that everyone has pressure. It's not new for me."
Leeds are currently 12th in the Championship table.