French outlet RMC reported that the Hoops and St Etienne were both interested in the right-back but were rebuffed by manager Thomas Tuchel.
Despite RMC claiming Brendan Rodgers’ side were keen on negotiating a loan deal for Dagba, The Scotsman understands Dagba was not a target for Celtic.
Dagba, who was with Boulogne prior to joining PSG in 2016, made his first-team debut on August 4 last year, in the Trophee des Champions match against Monaco.
PSG ran out 4-0 winners, with Dagba playing the full 90 minutes at right-back.
He made his league debut in a 3-0 win over Caen later that month, also at right-back, before lining up at left-back in a 3-1 win away to Guingamp the following week.
His last involvement with the PSG first team was a 24-minute appearance as a substitute in a 4-1 win over Reims in late September.
The Hoops have been linked with a series of right-backs, including Fernando Fonseca, Omar Elabdellaoui, Jeremy Toljan and Timothy Castagne.
Toljan is reportedly close to agreeing a loan move until the end of the season.