The veteran Argentine attacker was impressed by what he saw of the 21-year-old striker when he trained with the Nerazzurri's first team three seasons ago
The 21-year-old progressed rapidly through the Nerazzurri's youth team ranks but never made an appearance for the senior squad before being used as a makeweight in the deal that saw Andrea Ranocchia join from Genoa in the summer of 2010.
However, Inter are just one of the many Serie A sides said to be interested in signing Destro, who is coming off the back of a terrific season with Siena, and Milito would love to see the Italian back at Appiano Gentile.
“Destro trained with us during the treble year [2009-10] with [Jose] Mourinho,” the Argentine told La Gazzetta dello Sport.
“You could already see back then that he was a great forward - complete, technically good - and that was confirmed by his great season [with Siena]. He also still has plenty of time ahead of him to improve."
Milito, though, is primarily focused on picking up where he left off last term, having played a key role in Inter's resurgence during the second half of the season.
“I want to stay at Inter and I hope to do so until June 2014,” the 33-year-old declared. "I’ve always said that it’s magnificent here: my team-mates, the club and the fans all make me feel loved.
“I will never be able to repay the Interisti for the affection which I have been shown."
Milito, who joined the Nerazzurri from Genoa in 2009, scored 24 goals in Serie A last season.