Lagarde said a Greek economic recovery would require not only Greek reforms but also steps by European creditors to make Greece's debt sustainable.

However she said the Greek plan had to be credible.

"You can't build a programme just on the promise of improved tax collection, as we have heard for the past five years with very little result," she told the magazine.

Lagarde said she did not want Greece to leave the euro zone and did not believe in any euro zone "explosion".

(This story corrects to add dropped word "not" in final paragraph, clarifying Lagarde does not want Greece to leave euro.)

(Reporting by Ingrid Melander; Editing by James Mackenzie)