Brighton moved into second place with a 2-0 victory over Brentford on Sunday, taking their points tally to 22 from the opening 11 matches.
Only Arsenal have collected more points, with the leaders sitting on 27, but Gross believes it is far too early for his team to become involved in discussions about the championship.
The German midfielder, who was among the goalscorers against Brentford, insists Brighton must remain focused on their performances rather than becoming distracted by their position in the table.
“No. We are not in the title race. But we have made a really good start to the season. And we are still only at the beginning of the season,” Gross told Sky Sports.
The experienced midfielder believes the Premier League's competitive nature makes it particularly important for Brighton to maintain their perspective.
Results can change quickly, and Gross is conscious that the team must continue delivering performances rather than becoming carried away by their early success.
“You look at the Premier League, where the margins are so small, and you look at the results. We are not getting carried away yet.
“In every single game we have to fight hard. Sometimes it is about momentum. But we are really happy to go into the international break in this way.”
Brighton's victory over Brentford provided another positive result for a side that has made an encouraging start to the campaign.
Their position behind Arsenal demonstrates the progress made under their current management, but Gross is determined to ensure the players do not allow expectations to rise prematurely.
With 27 matches still remaining, the midfielder believes there is plenty of football to be played before any serious conclusions can be drawn about Brighton's ambitions.
For now, his message is straightforward: enjoy the positive results, maintain the intensity and continue taking the season one match at a time.