The federal trial for Lane, Thao, Kueng and Chauvin will consider a three-count indictment that accuses all four defendants of "willfully depriving" Floyd of his constitutional rights and failing to give aid to Floyd.
Thirdly, Cahill ruled there were children present during the offense and that this was an aggravating factor.
A jury found Chauvin, 45, guilty of second and third-degree murder and manslaughter after hearing three weeks of testimony in a highly publicized trial.
Floyd's death after he was handcuffed on a Minneapolis street with Chauvin's knee on his neck for more than nine minutes prompted massive protests against racism and police brutality in many us cities and other countries.More news: Former US policeman could face longer sentence for Floyd murder
It was unknown when Cahill would rule on that motion.
"It was particularly cruel to kill George Floyd slowly by preventing his ability to breathe when Mr. Floyd had already made it clear he was having trouble breathing", Cahill said. Cahill said these officers let Chauvin know that asphyxia was actually happening - yet Chauvin held his position.
Defense attorney Eric Nelson disagreed with the state, saying that prosecutors did not prove that there were aggravating factors.
Former Minneapolis policeman Derek Chauvin was convicted on April 20 of murdering Floyd, 46, by kneeling on his neck for more than nine minutes, in a case that marked a milestone in America's fraught racial history and a rebuke of law enforcement's treatment of Black Americans.More news: CDC To Update Guidelines Allowing Vaccinated People to Go Maskless Indoors
In the federal charges, Kueng and Thao are accused of failing to intervene to stop Chauvin from pressing his knee onto Floyd's neck for more than nine minutes on the asphalt previous year.
Cahill, who presided over the trial, will also sentence Chauvin. However, prosecutors asked for what is called "upward departure", and argued Chauvin abused his authority as an officer and should receive a longer sentence that what would normally be recommended.
Chauvin's three former co-workers - Tou Thao, 35, J. Alexander Kueng, 27, and Thomas Lane, 38 - who were involved in Floyd's fatal arrest, were to go on trial starting August 22 for being complicit in murder.More news: New York Times Square shooting leaves three injured, including a child