The 29-year-old aggravated the long-standing injury during the npower Championship defeat at Millwall on Tuesday and is a doubt for Leicester`s trip to Hull on New Year`s Day.
Kirkland's stop-start loan spell is due to finish after the game at the KC Stadium.
Kirkland joined Leicester at the end of November in search of first-team football after finding his opportunities limited at Wigan.
However, he suffered a back spasm before the Nottingham Forest game and had to wait until the trip to Ipswich on December 18 before finally making his debut.
Source: PA
Source: PA