The 26-year-old has been widely tipped to leave Eastlands, though boss Roberto Mancini says he wants Robinho to stay.
But Robinho told Brazilian television network Globo: "It's all on the right track. It's 90% certain to happen.
Santos press officer, Arnaldo Hase, said: "Negotiations are on course, with a six-month loan most realistic."
Robinho said Santos wanted a year-long loan with City looking at a six month arrangement, claiming that, "in two or three days, it should all be sealed."
Hase, meanwhile, explained that Santos were "very, very close" to clinching an agreement.
"Discussions between the directors of both clubs began last week and our marketing directors are in London to initiate talks," he told BBC Radio 5 live.
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