But recent reports suggested the Pole was growing impatient as he waits for a new offer from the Glasgow giants.
On the eve of their CIS Insurance Cup quarter-final with Hearts, Strachan said: "We offered him talks at the beginning of the season and that is ongoing.
"We were the ones that instigated them and at the moment it's going great with (chief executive) Peter Lawwell and Artur so that's fine."