Rogers' launched the deal to buy Shaw in March 2021, but the competition bureau blocked it saying it would lessen competition in a market which has among the highest wireless prices in the world.
He said since the competition bureau sits under the minister, it is a signal to the bureau to settle.
The competition bureau did not reply to an email seeking comment.
Champagne's announcement comes as the companies start a two-day mediation process starting Thursday at the Competition Tribunal.
Competition bureau has said the sale of Freedom Mobile to Quebecor is not sufficient to overcome its concerns about market concentration.