"We could reach a final agreement with Kayserispor in the next few hours," Nader Shawki told FilGoal.com.
"The player arrived in Turkey to finalize everything and pen the deal."
Shawky is seeking to end a frustrating spell at English second-division side Middlesbrough.
The 28-year-old joined Boro in the summer of 2007 from Egyptian champions Ahli but never established himself as a key player at the Riverside.
Gordon Strachan replaced Gareth Southgate as the team's manager last October but his arrival did not give Shawky a new lease of life.
Shawky, who was left out of Egypt's squad for the African Cup of Nations due to lack of regular first-team football with Middlesbrough, did not play any games this season.
He only made the bench in last week's FA Cup defeat to Manchester City.
Shawky would join compatriots Abdul-Zaher Al-Saqqa and Ayman Abdul-Aziz, who play for Eskisehirspor and Diyarbakirspor respectively, in the Turkish Super Lig if he moved to Kayserispor.