Celtic have reportedly submitted a new offer for Sebastian Tounekti.
The Daily Record claims the Scottish Premiership champions have tabled a new and improved bid of £4m for the winger.
Hammarby rejected Celtic's initial approach earlier this week. That offer was believed to be worth around just £3m.
But Brendan Rodgers' side have gone back to the Swedish outfit with an improved bid, as they look to sign the Tunisian.
Hammarby bought Tounekti, 23, from Haugesund earlier this year.
The winger also previously played for Tromsdalen and Bodo Glimt.
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Rodgers wants to add the player to his first team ranks at Lennoxtown before Monday's deadline day.
He could potentially join Kasper Dolberg coming in, with Adam Idah set to leave for Swansea.
The Hoops have this week signed Michel-Ange Balikwisha from Antwerp and Marcelo Saracchi from Boca Juniors.
