Erdogan did not give a specific date for the visit but said during a televised speech in Ankara it would be "around the end of May". He will travel to Washington to meet President Barack Obama on May 16.
The Turkish leader, who has for years spoken of his desire to visit the Palestinian enclave, was expected to travel there this month but postponed his trip at the request of Washington, the Turkish daily Hurriyet and other local media reported.
The United States wanted the trip delayed, the reports said, so as not spoil a nascent rapprochement between Turkey and Israel following an Israeli apology in March for the killing of nine Turks in 2010.
Obama last month brokered a first step in reconciliation between the two former allies, whose relations were frozen after the 2010 killing by Israeli marines of nine Turks aboard a Gaza-bound aid ship.
Israeli Prime Minister Benjamin Netanyahu apologised to his Turkish counterpart over the killings and pledged compensation to the bereaved, meeting a long-standing Turkish demand. Turkey, for its part, appeared to back off a separate demand that Israel stop blockading Gaza.