The move followed a recent joint inspection, which revealed significant damage to eight piles.
The suit marked FHC/L/CS/1803/2024 was heard by Justice Akintayo Aluko.
The Lagos-Calabar Coastal Highway project has been subject to public scrutiny, with discussions around its award, cost and execution.
Mr Umahi said that President Bola Tinubu’s administration was committed to improving the country’s infrastructure.
Mr Obasanjo said Mr Tinubu and Vice-President Kashim Shettima exemplified financial waste and corruption.
The federal government has expressed concern about speeding on the rehabilitated Third Mainland Bridge in Lagos.
“First, this is ethically wrong, in my honest opinion. There exists a conflict of interest,” an X user, Enwagboso, said matter-of-factly.
“That is just their own anger. So, they look for an avenue to attack. But it’s all about darkening counsel without knowledge,” said Mr Umahi.
