City spent in the excess of £50m to sign Benjamin Mendy from Monaco during the summer transfer window, with the wing-back enjoying an impressive start to life at the club and thriving down the left in Pep Guardiola's system. But a ruptured anterior cruciate ligament could see the popular Frenchman miss the remainder of the 2017-18 season.
That blow has left Guardiola without a natural option on the left with the manager refusing to rule out a move in January to address that concern.
According to the Daily Telegraph, City are among the clubs monitoring Shaw's situation across town at Old Trafford. The 22-year-old, said to earning £130,000 per-week at Old Trafford, has managed just 48 minutes of first-team football this season with his future under Mourinho looking bleak.
Bridge, who spent four years on City's books between 2009 and 2013, is unsure if Shaw would be the answer to City's current problem, but believes current stand-in option Fabian Delph could be the best solution for the remainder of the season.
"I am not sure about Shaw. It would be a big one to go and sign him because he hasn't played much," Bridge told askfans.co.uk. "I've actually been impressed with Delph. He's done well. But Mendy is out for a while so they will look to sign someone, but for me Delph looks good. He has impressed me the way he's played."
Mendy's injury has forced Guardiola to rethink his plans on the left but on the right, he has no such concerns with Kyle Walker thriving at the Etihad Stadium following a summer move for Tottenham Hotspur.
Bridge believes Walker's £52m transfer fee is now looking like money well spent with his fellow England international John Stones another he believes is now proving his critics wrong.
"I was surprised at the £52m transfer fee, but you look at it now he's been worth every penny. He's flying.
"The teams doing well which makes it easy for him to settle, but I just think he's brilliant. The pace he's got, tackling, getting forward, crosses into the box. Stones is another one. I have been so impressed with both of them. It's great to see."
City have not dropped a point in the league since the second week of the season and currently lead neighbours United by eight points after 12 games played. Given how emphatically they have put the opposition to the sword this term, talk of City replicating Arsenal's infamous 'Invincibles' season from the 2003-04 has inevitably risen, and Bridge believes his former side can match that feat under Guardiola.
"I can't see anyone catching them. Arsenal have done it and now I can see City going unbeaten. They look too good.
"They look like they are going to create chances whoever they play against. I can't see anyone beating them to be honest."