Goalkeeper Kirkland aggravated a long-standing back injury against Millwall on Tuesday while defender Davies is still struggling with the knee injury that forced him to miss the 2-0 defeat at The Den.
Kirkland's stop-start loan spell is due to finish after the game at the KC Stadium and the Barwell-born stopper has already returned to Wigan for treatment.
Chris Weale replaced Kirkland at half-time against Millwall and he is poised to come back into the team.
Miguel Vitor has missed the last two matches with a groin strain and the defender remains a doubt.
The Foxes have won just one of their last five games, losing three of them.
Source: PA
Source: PA