"I hope we keep going because it's a really nice way of playing football, but there are a lot of games to go,” he said.
"Last season, we also started good, but then we dropped off.
"I just hope this season is going to be better. But it's a very long way to go. We need to perform like we did in those two games, and we'll see."
Leeds dominated Derby and took the lead through Klich after just five minutes.
Leeds United beat Derby 4-1 on Saturday (Image: PA)
Leeds United striker Kemar Roofe heads home (Image: PA)
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Leeds United manager Marcelo Bielsa has overseen two wins in two (Image: PA)
And while Tom Lawrence drew the Rams level seven minutes later, two goals from Roofe and a Ezgjan Alioski strike secured the three points for the visitors.
But Roofe echoed Klich in insisting Leeds’ promotion chances cannot be defined yet.
"We didn't finish last season well at all and everyone was disappointed,” he said.
"But we're only two games in. We can't get carried away."