Vickery was sidelined for a large part of the Six Nations after breaking his arm while on Zurich Premiership duty for Gloucester six weeks ago.
The 29-year-old went under the surgeon's knife and is scheduled to see a specialist on Monday to receive an update on his progress.
Gloucester hope the front-row forward will be given the green light to face Leeds and it would be a timely return given the Lions squad is announced two days later.
Vickery made his first England start for almost 11 months when he lined up against France at Twickenham in February.
He has endured a series of setbacks since helping England win the World Cup final with a serious back injury and an eye-socket fracture ruling him out of action for long periods.