In March, he was convicted of stealing from his donors by making two transfers totaling more than $46,000 from his campaign account to his personal account.
It was decided then that a judge would determine his sentence on June 16.
However, his attorneys are now asking that the sentencing be delayed until after his trial on the misrepresentation-of-identity charges he is also facing. That trial is set for next month.
The misrepresentation charges stem from allegations that he made fake racist social media posts about himself to drum up sympathy from voters as he was running for re-election.
For the money-laundering charges, he faces anywhere from two to ten years in prison.
ABC13's Tom Abrahams sat down with Brian Wice, the special prosecutor on the case. He had this to say about the possibility that the judge grants George probation.
"Obviously, probation is a likely consideration. One of the things that I believe as prosecutors we will ask for is that if the judge gives this defendant probation, that she assesses a condition of that probation, a substantial amount of jail time in the Fort Bend County Jail," explained special prosecutor Brian Wice.
Wice says that on Tuesday, both sides will have an opportunity to introduce any evidence relevant to sentencing. Wice also says he thinks it is possible the defense will call George's children and wife to testify.
The hearing is set for 9 a.m.