The Rangers boss says his side must instead focus on the tough task ahead of them.
Rangers' manager Mark Warburton
It has been a busy summer for the Gers this summer, with eight new signings arriving at the club so far.
Another is in the pipeline, as Joe Garner looks set to complete a move from Championship side Preston North End this weekend.
While there has been a whole raft of new arrivals, Warburton’s side have spent very little, instead focusing on making smart free transfers such as Joey Barton, Niko Kranjcar and Clint Hill among others.
Celtic manager Brendan Rodgers
Money is not as much of an issue for Celtic, who have spent relatively big on signings such as Scott Sinclair and could spend further should they secure Champions League group-stage football.
But while some Rangers fans may be casting jealous glances, Warburton says their rivals’ spending does not concern him.
“I can’t control that. That’s out of our reach. Whatever happens there is fine,” he told the Daily Mail.
“We have to get on with our job and recognise we have a tough task, in terms of the quality of the league, to be the best we can be. That’s all we can do.”
Rangers manager Mark Warburton
It now remains to be seen whose signings prove to be the better ones across the Scottish Premiership campaign.
There is no denying that the arrival of the likes of Barton, Kranjcar and Sinclair has certainly ramped up interest in the Scottish top flight this season.
And which signings prove to be the better ones is likely to be a determining factor on where the title ends up come next summer.
Celtic manager Brendan Rodgers before the match