Edinburgh's Alan Solomons was always confident his side would pull away in the closing stages to secure a crucial bonus point against Agen.
The hosts scored three tries in the final 20 minutes to secure a 23-0 European Challenge Cup victory.
It puts Edinburgh top of Pool 5 and keeps them in the qualification hunt.
"We needed to build our innings because I felt that if we kept at it, in the last 20 minutes, they would tire in that battle," said head coach Solomons.
"I think they did that and we started to really get on top."
London Irish and Grenoble, five and three points behind respectively, meet in Reading on Saturday.
Having rested many on Friday night, Solomons will have his full compliment of Scotland internationals available for Edinburgh's final game against the French at Stade des Alpes next Saturday.
"We freshened up the squad tonight and now we've got to sit down tomorrow after the review and start discussing the selection," he said.
"The important thing was we had to get a bonus point to stay in contention. That was absolutely vital and we managed to get it.
"We know that is an important game [against Grenoble] It'll be a very tough game for us, but we have the capability. We have to perform really well on the night."
The coach was particularly pleased with the display of a youthful pack of forwards.
Jamie Ritchie, Rory Sutherland, Magnus Bradbury and man of the match Hamish Watson all impressed.
"I said to the players before the game, 'we're looking a little into the future tonight'," added Solomons.
"A lot of these young boys are going to carry Edinburgh in the years to come and that's why I was excited about the game and pleased to get the result at the end."