The 58-year-old left his post at Roma on May 30 after only 16 months in charge at Stadio Olimpico and is poised to be named the permanent successor to Stefano Pioli at San Siro.
Although a deal has not yet been finalised, Spalletti says a provisional agreement is in place and he hopes to bring talks to a satisfactory conclusion soon.
"Everything is in place," he told the media at Malpensa airport, as he and sporting director Piero Ausilio prepared to fly out to meet Inter's Suning Group owners.
"We've shaken hands; we're old fashioned and we do things with a handshake."
Spalletti's appointment is expected to be followed by significant investment in the playing squad aimed at boosting their chances of challenging for the top three next season.