Lowry is among the most highly rated talents in the Gers’ youth set-up and has already made three appearances across all competitions for the senior team this season.
Rangers see the 18-year-old playing a big role at the club in the future, are keen on extending his stint with an improved deal and have already started negotiations.
The teenager’s current contract at Ibrox expires at the end of next season but it has been suggested Rangers have failed with their initial efforts to sign him up on fresh terms.
Lowry is claimed to have rejected Rangers’ opening offer to renew his stint for three-and-a-half years.
However, the Scottish champions have dismissed claims suggesting Lowry has knocked back a contract offer.
Lowry made his debut for Rangers as a substitute in their 4-0 Scottish Cup win over Stirling Albion last month, and managed to mark the occasion with a goal.
Rangers will be hoping they can wrap up contract negotiations with Lowry soon to head off any potential interest in him from elsewhere.
