Davies was replaced in the 37th minute of Spurs' 3-3 draw at St. Mary's last Saturday and is now set for a spell on the sidelines, according to football.london.
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A six-week layoff would see the Wales international return in May ahead of the final games of the season, in which Spurs will battle it out for Champions League qualification.
The injury rules Davies out of the Wales squad for their upcoming Euro 2024 qualifiers against Croatia and Latvia.
Spurs boss Antonio Conte has relied heavily on Davies this season, handing him 21 starts from the club's 28 Premier League fixtures and 37 appearances overall.
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The report suggests that Davies' unavailability could cause problems for the club's next manager, with Conte widely tipped to leave his post before the resumption of the Premier League next month.
Conte's tried and trusted formation consisting of wing-backs could make way for a back four with Davies previously Spurs' only fit left-back.
This could see Emerson Royal switch flanks to cover for the injured Davies and Ryan Sessegnon while Ivan Perisic is better utilised in a more attacking left-sided role.
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Spurs' will be hoping the international break proves kind to them as their injury list continues to mount.
Richarlison, Hugo Lloris, Rodrigo Bentancur, Yves Bissouma and Sessegnon all join Davies in the treatment room and any further additions could act as a derailment to their top-four ambitions.