Celtic 'accelerating' transfer talks for Tottenham midfielder
The Hoops have been monitoring the 21-year-old midfielder's progress since last season and are keen on securing his services.
Tottenham Hotspur are likely to allow Devine to leave permanently this summer.
The midfielder spent last season on loan at Preston North End, with a £6 million future fee as part of the initial loan agreement.
Preston were keen to activate this clause, but the July 1 deadline has now passed, putting the deal in doubt.
This has opened the door for Celtic to make a move, although it will still cost the Scottish Premiership champions £6 million.
There is, however, interest from other clubs.
Wolves, despite their relegation to the Championship last season, are also said to be interested in Devine.
However, Devine is unlikely to feature in Spurs' squad this season with the club having signed Mateus Fernandes from West Ham and Sandro Tonali close to a £100 million switch from Newcastle United.
Other players such as Lucas Bergvall and Rodrigo Bentancur are already ahead of Devine in the pecking order at Tottenham Hotspur Stadium.
Martin O'Neill is said to be a fan of Devine.
With all these factors in mind, Roberto De Zerbi may be willing to part ways with Devine and cash in on the young midfielder.