AC Milan's Alvaro Morata, right, scores his side's opening goal challenged by Cagliari's Jose Luis Palomino during the Serie A soccer match between AC Milan and Cagliari at the San Siro stadium, in Milan, Italy. AP
"Official negotiations have begun for the loan of Alvaro Morata," Galatasaray said in a short statement on social media.
Spain captain Morata is close to leaving Milan after disappointing since signing from Atletico Madrid in the summer as a replacement for fan favourite Olivier Giroud.
The 32-year-old has scored just six times in 24 appearances in all competitions for Milan, who sit eighth in Serie A ahead of Sunday's local derby with champions Inter Milan.
Milan are set to announce the arrival of Santiago Gimenez from Feyenoord for a reported fee of 32 million euros ($33 million), with the Mexico striker arriving in northern Italy on Saturday night to complete the transfer.
Galatasaray lead the Turkish Super Lig by six points from Istanbul rivals Fenerbahce.
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