Arsenal will aim to sign a new left-back during the summer transfer window, a report from The Athletic claims.
Mikel Arteta was keen on landing someone before the transfer deadline, but the Gunners were unable to pursue any suitable targets.
According to The Athletic, the hierarchy were content to delay the pursuit as their preferred targets were not available in the market.
The Scotland international has been out with a lower leg injury, but he is expected to return to action in the near future.
Both players have their respective contracts expiring in June, but the Gunners are unlikely to approach either player.
Kolasinac is expected to be sold in the summer with him deemed surplus to requirements by Arteta.
The Gunners have their sights on landing a young left-back, who can offer strong competition to Tierney.