The Silver Arrows were set to use their second power unit of the season at the seventh race of the 21-race season in Montreal.
Valtteri Bottas insists Mercedes' last-minute decision to delay the introduction of a new spec power unit for this weekend is nothing more than a "small penalty" for the team's Canadian Grand Prix chances.
Teams can only use three engines per season without incurring a penalty.
A Mercedes spokesman told Sky Sports: "Although we had hoped to introduce PU2 [power unit two] this weekend, a quality issue means that this has now been delayed by one race".
Canada is one of Hamilton's favourite circuits, the one where he took his first grand prix win in 2007 and where he has won and started from pole position six times.
Ferrari are also expected to use an upgraded engine for all their teams, but this has not yet been officially confirmed. "We are pushing hard to bring more performance to the auto as soon as possible".
Mercedes are now ahead of Ferrari and Red Bull Racing in both the Drivers' and Constructors' championships, but have faced a stiff challenge in all the races thus far.
While Ferrari and Red Bull will have fresh engines, Mercedes will go with the same power unit.
The double World Champion can count himself among the Canadian Grand Prix winners, however, it has been four years since last he even scored a point in Montreal.
However, Wolff admits that their domination in the past will not guarantee a favorable result, especially since Mercedes have struggled to generate performance on the softer compound tires this season. "But we're going to give it everything we've got, that's for sure".