Forest signed David McGoldrick and Dele Adebola earlier this week to add to Robert Earnshaw, Joe Garner and Nathan Tyson, who were already at the club, and the former Derby boss has asked the board to sanction the purchase of one more striker.
Davies told the Nottingham Evening Post: "They are the ones that fire you to the top of the league. We have five and I would still like another one.
"The board know that and have been very supportive to the suggestions I have made over the last couple of weeks.
"We have to make sure we don't need to play Nathan Tyson three times in a week. We have to make sure Robert Earnshaw does not do that."