The Rams recorded successive Championship wins for the first time since mid-December - when they beat the Robins 2-0 at Ashton Gate - thanks to goals from Jeff Hendrick, Jamie Ward and Ben Davies.
Asked if the break came at just the right time, Garner said: "Perhaps that could be fair to say.
"The players had a chance to recharge their batteries and they have produced a good performance. I thought we were superb from start to finish.
"I thought the first 20 minutes were particularly good. We could have been three in front in the first 20 minutes.
"When they don't go in though you start to think, 'Is it going to be one of those nights?'.
"But I think perhaps it (the timing of the break) might have been more relevant for us with a squad like ours, where a lot of the same players pretty much play week in, week out.
"In contrast now, it is a quick turnaround for the trip to Leeds on Monday."