But manager Mikel Arteta admitted he is in the market to add strength in depth in that position.
Tierney's understudy Sead Kolasinac was allowed to leave on loan this month.
And while Ainsley Maitland-Niles and Bukayo Saka can fill the void, Arteta is aware it is a position he needs to invest in.
Goal says Bertrand is eyed as a potential target with his Saints deal expiring in the summer.
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