The Countymanager Ian McParland moved to snap up the keeper, 21, as both his senior custodians, Russell Hoult and Kevin Pilkington, are injured.
Pilkington faces a lengthy spell on the sidelines after suffering knee ligament damage in the closing stages of the 1-1 draw at Brentford.
Lillis has made 13 first-team appearances for Scunthorpe, although he has spent most of his time at Glanford Park on the substitutes bench due to the impressive form of No1 Joe Murphy.