The South African press has reported that, John McFarland, Meyer's prospective new defence coach at Welford Road, has asked to be allowed to return to his job with the Blue Bulls in Pretoria.
McFarland resigned from the Bulls on 7 November and was expected to join Meyer at Leicester.
But the Bulls said in a statement on their website that his return was under negotiation.
Meyer, who guided South Africa's Blue Bulls to Super 14 glory last year, agreed a three-year contract at Welford Road to replace former Argentina coach Marcelo Loffreda.
Leicester's next game is against Northampton on 10 January, followed by Heineken Cup fixtures against Treviso and the Ospreys.
Cockerill added: "At this time Heyneke needs our support as a club. He's got some issues to deal with at home and we wish him all the best and hope he's back with us very soon.
"He didn't leave until Tuesday evening, so he's planned this whole week's training, he's picked the team, he's done all the tactics and he's been on the phone ever since.
"It's not an issue from a rugby point of view and we'll just get on with business as usual.
"Heyneke's made a massive impression here and we want him here for the long term. He's a world-class coach and we need that continuity within the club."
Bookmark with:
What are these?