Bauer will see out the campaign at Celtic Park, where he could return on a permanent basis if the Bhoys choose to exercise their buying option.
The Austrian moved to Stoke from Rubin Kazan 18 months ago, in a deal which Transfermarkt reports cost the then-Premier League side £5.6 million.
But despite being an ever-present in the team that dropped to the Championship that campaign, the new Celtic recruit has played just 11 times since then.
And while Bauer heads to Glasgow without a competitive experience behind him all season, Lennon will consider throwing him straight into action against Rangers on Sunday.
"Yes, he could (play at Ibrox)," the Bhoys boss told the club's official Youtube channel. "He’ll be in contention.
"Obviously, he’ll train Thursday and Friday and we’ll gauge him again on Saturday to see how he is.
"But he has no injury record, as such, he’s a very fit lad.
"I’ve spoken to Paul Lambert on him - he’s a good, old friend of mine, a good manager, who had him at Stoke - and he was very complimentary about Moritz, so that augurs well for him as well."
Lambert, who played alongside Lennon for five years in Celtic's midfield, left Stoke by mutual consent upon the Potters' relegation and is the current manager of Ipswich Town.
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