Davis went into last week's matches against Stevenage and Swindon without eight players but he is reluctant to dip back into the emergency loan market before the window closes on March 27.
The 48-year-old says the injury situation at Gresty Road is improving, with on-loan striker Uche Ikpeazu among the players closing in on a return to action.
"We are not really looking at bringing anyone else in before the deadline. Of course, if the situation was to change with the two goalkeepers then I would have to consider that," Davis told the club's official website.
"We have enough loan players in the club and our focus will be on getting some of our injured players back as soon as possible. I think we will look a lot healthier when we train tomorrow (Thursday)."
On Ikpeazu, the Alex boss said: "He is making steady progress and it would be a bonus to have him back sooner rather than later because he is good enough to do well in this league."
Crewe sit 21st in Sky Bet League One ahead of Saturday's trip to Peterborough.
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