He had told them they should remain focused on their bid to finish in the top four of the Premier League and qualify for the Champions League.
On Saturday, Spurs won 2-0 away at Blackburn to leave them two points behind fourth-placed Aston Villa.
Republic of Ireland international Keane came on as a substitute in the victory at the weekend.
Prior to Saturday's success Redknapp had told BBC Radio 5 live that he would deal with the matter internally, saying, "Believe you me, it will be sorted out."
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