Gagliardini, 22, has already agreed terms with Inter, who are waiting for funds to be released by owners the Suning Group.
Patrice Evra's future at Juventus is in doubt but would the 35-year-old left-back benefit from a move back to Manchester United?
Jovetic is reported to be in talks with Sevilla over a move to Spain and was again left out of the Inter side at Udinese on Sunday.
Inter Milan edged Udinese 2-1 away from home on Sunday, courtesy of Ivan Perisic's double.
Massimiliano Allegri has said he hopes his team can maintain their grip on top spot in Serie A following Sunday's 3-0 win over Bologna.
Patrice Evra could be about to leave Juventus with the Serie A club's general manager confirming the France full-back is considering his future.