The Sweden international is reported to be a January transfer target for Russian outfit Rubin Kazan.
The 25-year-old defender is, however, settled in Scotland and is looking forward to helping Celtic prolong a UEFA Champions League adventure which has so far carried them into the last 16.
Taking that into account, Lustig claims there is little chance of him heading for pastures new.
"I have heard the speculation about Rubin Kazan but nothing from Celtic or my agent," he said in the Daily Record.
"There is nothing going on and I have just been at Celtic for one year so I am in no hurry to leave.
"Everyone has their price but it's not something I'll be putting any energy into."
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