Uwe Rosler's has so far added goalkeeper Charlie Horton along with striker Lee Erwin, while defender Sol Bamba is joining the club permanently, following his loan spell from Palermo this year.
There has also been significant changes behind the scenes, with Glover just one of a number of high profile appointments to key roles at Elland Road.
Glover, who arrives from a similar position at West Ham United, will work alongside the head coach in bringing in new recruits.
And he has told Leeds fans to expect one or two further signings before Rosler assembles the group for pre-season.
Golver told BBC Radio Leeds: "We're speaking to people and trying to get the ball rolling to see how quickly we can get one or two sorted before pre-season."
Rosler has spoken about Leeds aiming for a top 10 finish in the Championship next season, however the pressure is on as owner Massimo Cellino wants promotion to the Premier League within 2 years.
The German is already Cellino's 5th coach in just over a year.