There are fears about the ongoing involvement in the 2012 US Grand Prix project of the race's promoter Tavo Hellmund.
Hellmund has been the driving force behind the Circuit of the Americas in Austin, Texas, scheduled to host its first Formula One race next November.
But the slowing of construction work at the venue has been "noticeable" lately, according to the local Austin American Statesman newspaper.
And it is now suggested that the "promoter or management" could be changed after Texas comptroller Susan Combs this week wrote to F1 chief executive Bernie Ecclestone.
The letter was written after Hellmund reportedly asked Combs whether "a change in management or promoters" would affect the funding promised by the Texas government.
Ecclestone and Hellmund did not respond to calls or emails on Thursday, the newspaper said.