The Reds’ boss has previously said he is looking for a full-back and a striker to boost his squad during the January transfer window.
Drummy was hopeful of securing a deal this week but he has backed out because of disagreement over the player’s valuation.
He said: “At this time we have agents offering suitable players to the club.
“It can be a matter of how much I want to pay for someone and if I think they are worth it.
“A deal fell through yesterday when I shut the door on that.
“We have second and third targets and we will have to wait to see what comes up - and often it can be a surprise.”
Crawley have already recruited winger Dean Cox in this transfer window while loanees Alex Davey and Mitch Beeney have returned to their contracted club Chelsea.
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