Bain impressed on his Celtic debut on Sunday, and Brendan Rodgers' side are said to be eyeing a full-time deal for the 26-year-old.
Bain cut short a spell at Hibs in favour of a move to Celtic in January, and the Dundee-owned goalkeeper impressed on his long-awaited debut in Sunday's Old Firm.
The 26-year-old pulled off a couple of top saves to ensure Brendan Rodgers' side returned from Ibrox with a 3-2 win.
And that, according to the Scottish Sun, has convinced the Celtic boss to pursue a permanent deal for Bain.
But what do Bhoys fans make of the speculation? Here's what they're saying on Twitter...
Thought he handled the pressure well, give him a run to prove his worth and give him a deal, hail hail— Callum Hendry (@CallumHendry5) 13 March 2018
@ScottBain_ amazing seeing you play well mate, thought u were amazing at Alloa now your doing in the best team in the countryclass man get that permanent signed after the loan pic.twitter.com/SSl7UWR0Qs— Neil (@Neil_Docherty17) 12 March 2018
Brilliant debut performance. Hopefully can continue that form for rest of season then get a permanent move to Celtic. Keep up the great work.— John Donnelly (@JohnDon83) 12 March 2018
Get him signed— John (@jald19) 12 March 2018
Yep he has the stuff— Terry O'Neill (@terryoneill67) 12 March 2018
We signing Scott Bain after yesterday aye— Dale Widdrington (@Dalee67) 12 March 2018
hope you ger that permanent contract nerves of steel well done— Geoalloy (@Geoalloy1) 12 March 2018
Sign him up Celtic— Q (@Khonvoum) 12 March 2018
I would sign Bain permanent. Much better option than DDV— Ciarán (@CiaranGByrne) 12 March 2018
I hope Celtic are this morning typing out a new contract for Scott Bain to sign in the summer.— james (@ggbhoy) 12 March 2018
Bain will hope to profit from injuries to senior rivals Craig Gordon and Dorus de Vries and keep his place between now and the end of Celtic's season in May.
Should he maintain his debut form, the former Alloa player could become one of the bargains of the summer, with his Dundee contract due to expire.
Should Celtic sign Bain permanently?