Davidson, 26, has three goals and two assists in 36 games with Edmonton and the Montreal Canadiens this season.
Davidson, a 2010 sixth-round draft pick by Edmonton, was waived by Montreal in December before being claimed by the Oilers.
Davidson has appeared in 137 regular-season NHL games, with eight goals and 12 assists with 59 penalty minutes. He has also played in three playoff games.
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