Mark Warburton's side beat Dundee 2-1 on Saturday afternoon.
Rangers manager Mark Warburton
The Gers endured a disappointing start to the season last week as they were held to a frustrating draw with Hamilton.
They secured their first win of the campaign on Saturday, though, as they beat Dundee away from home, courtesy of goals from Harry Forrester and Kenny Miller.
Rangers' Kenny Miller
Rangers were not at their best in the second half, though, with a goal from Dundee just before the break setting up a tense second 45 minutes.
Rossiter is not concerned, instead saying that he believes they will only get better with more games under their belt.
“I thought we shifted the ball about well in the first half although I thought were in third gear and we still have fourth and fifth gear to come,” he told the Daily Mail.
“As the season goes on and the games roll in I think we will improve. We have Motherwell next week and then Kilmarnock away so I feel we have more gears to go and I’m sure we’ll reach them.”
It remains to be seen what role that Rossiter has to play in Rangers first team going forward.
The centre of midfield is one area that manager Mark Warburton is blessed with a number of options in, with Niko Kranjcar and Joey Barton arguably first choice.
Warburton has already shown his willingness to rotate, though, and it will be interesting to see if Rossiter can secure himself a first team role when given the chance.
Rangers' manager Mark Warburton