The Hoops are in the race to sign Owen Beck from Liverpool this summer.
According to the Mail, Beck was a key target for former Reds boss Brendan Rodgers earlier this summer.
The 21-year-old had been sidelined because Liverpool were looking for a direct sale, but he returned.
With Andy Robertson, Kostas Tsimikas and Joe Gomez ahead of him in the left-back pecking order, Beck would likely need to leave.
A loan from Celtic would be favorable for all parties as it would give Beck the playing time he desires and also increase his value.