Lindsay Clancy's lawyer is pushing for an investigation into the lone juror who wanted to convict the Massachusetts woman of murdering her three children.
Mr Reddington is calling for the motion to be heard at the next scheduled hearing on September 29.
Among other things, lawyer Kevin Reddington asked the court to get a record of any calls or texts Mr Desronvil made between 8am and 4:30pm on each day the jury deliberated.
The judge declared a mistrial earlier this month after the jury said it could not reach an unanimous verdict, despite days of trying.
Eleven of 12 jurors were ready to Ms Clancy of criminal responsibility, with the majority feeling that she was in the grip of a condition called postpartum psychosis when she killed her children.
"I didn't have any doubts," Mr Desronvil said in a statement released on X by his lawyer, Edward Paltzik.
The jury's foreperson had claimed in an earlier media interview that Mr Desronvil had admitted having "reasonable doubt" about Ms Clancy's guilt but wanted to convict her anyway. Mr Desronvil said that was not true.
A fundraiser to cover what organisers say are costs of "security, lawyers, and lost work" for Mr Desronvil has raised nearly $US375,000 ($526,600).
In another motion on Monday, another lawyer for Ms Clancy, Martin Weinberg, asked the judge to take the step of dismissing the criminal case, rather than putting on a new trial, on the grounds that a mistrial should not have been declared in the first place.