Sunderland have taken 18 points from their opening ten matches, and moved up to fourth in the Premier League after an impressive draw against Everton, thanks to a goal from captain Granit Xhaka in the second half.
Many had predicted that the side would go straight back down to the Championship and be in the relegation zone by this stage in the season, much like the sides that were relegated last season.
Dreyfus, who is the youngest in the top flight at just 27 made a rare appearance this week and spoke to Sky Sports about how he and his team are defying the impossible this season.
"I think the stats showed to us that unless you do something extraordinary, you’re likely going to go back to the Championship.
"For us, we didn’t really set ourselves a budget in terms of the money we want to spend.
"We had an ambition to try and bring in the players we want, and fortunately, a lot of the deals we wanted to do, we were able to conclude them.
"And as a result of that the spend in the end was big, but most importantly we got the players that we wanted."
However, he admitted that things can quickly change for the side, who still have many of their Championship players in the first team. Dreyfus revealed that he is ready for anything as he discussed ambition within the side.
"Obviously, if we’re in the bottom three by Christmas or we’re in the top six by Christmas, that changes the ambition a little bit," he said.
"We’re currently preparing for all scenarios, but we’ve been doing that since the summer, so hopefully we’ll be going into the January window with a top ten finish in mind, and we will prepare and execute the transfer window to give us the best chance," Louis-Dreyfus added.