The 28-year-old has a contract with the club until 2020.
An Aston Villa youth product, Darlow commenced his senior career with Nottingham Forrest.
He also had his loan spells at Newport County and Walsall before joining the Magpies in 2014.
The English shot-stopper was instrumental for Rafa Benitez in winning the 2016-17 Championship title. In the process, Darlow kept 13 clean sheets in 34 appearances.
However, the Former Notts player fell down the pecking order in the following years. As far this season is concerned, Darlow barely played any game other than a League Cup appearance.
Why the Celts should make a move for Darlow?
Darlow has grown weary over getting fewer opportunities in the first-team and Park Head would be a good destination for him in the upcoming season.
It is difficult to beat the likes of Scott Bain, who has kept only 22 clean sheets this season, Darlow could ease the pressure off the Scottish keeper by providing cover.
The second-choice shot-stopper Dorus De Vries is in his twilight years and Darlow could fill his void in the next season.
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Having already won the Scottish Premiership title, the Celts will play in the Scottish Cup finals against Hearts this week.