The Egypt star was scheduled to make the journey to the UK on Monday as he was set to partake in a training session with the Tigers the same afternoon.
However, a missing document prevented the burly striker from catching his flight.
Zaki has a history of returning late from international duty with former club Wigan Athletic.
But the Pharaohs forward's agent, Nader Shawki, revealed that Zaki had now obtained the paperwork and is set to arrive in Hull on Tuesday.
"The 27-year-old has every intention to be punctual but the red tape caused his arrival at Hull to be postponed," Shawki told FilGoal.com.
Zaki, who has hardly featured for the relegation-threatened Hull, has been back in Egypt with parent club Zamelek receiving treatment from club doctor Mostafa Al-Monayeri for a knee injury he picked up last month.