Haksabanovic only signed for the Russian outfit last summer form IFK Norrkoping, but his future at the club is under the scanner.
Celtic are in the market for a versatile forward and have zeroed in on the Montenegro international, although their initial efforts to land him earlier in the window fell through.
Haksabanovic is keen on leaving Rubin Kazan in the ongoing window, despite signing a five-year deal last summer, and Celtic have rekindled their interest in him.
The Hoops have continued talks with Rubin Kazan over a swoop for the winger and they have made headways.
According to Russian magazine Sport-Express, Celtic and Rubin Kazan are close to agreeing a permanent deal for Haksabanovic.
Landing the winger would hand Celtic boss Ange Postecoglou an extra attacking option in the final third.
Haksabanovic is yet to play for Rubin Kazan this season and Celtic will hope they can wrap up a deal for him soon.
