The number eight was flown over to New Zealand to join Martin Johnson's side as emergency cover for the injured Nick Easter, but he has yet to feature.
The Tigers were defeated 25-50 by Saracens at Welford Road on Saturday and the former England hooker wants his best players at his disposal.
"I'll be asking them to make a decision in the morning on whether he's going to be flying back tomorrow or not," said Cockerill. "We go to Bath next week and then we have Harlequins here, and then we might get the odd one back."
The defeat leaves Leicester in ninth place in the Aviva Premiership table.