Kate's lawyer Mark Momjian added her legal team is "not going to make any comment until the decree is entered," according to RadarOnline, which added he did state the divorce's finalization will happen before the end of the year.
In addition, a source told RadarOnline that Kate "is thrilled" with the arbitrator's decision of how to divide the couple's assets.
Jon's attorney Mark Heller said he still needs to receive a "formal copy" of the arbitrator's ruling.
"Some issues still need to be addressed. It's a work in progress," he told RadarOnline. "It's a sealed decision and confidential and we can't comment on it yet."
Heller also disagreed with Momjian's belief that the finalization will occur by the end of the year, instead stating it will most likely occur in January.
Jon and Kate filed for divorce in June -- on the same day they publicly announced their separation during a Jon & Kate Plus 8 broadcast. Late last month, Heller stated it was "possible" the divorce could be finalized by the end of the year after the couple attended a day-long divorce arbitration hearing.
Last week, a judge granted TLC a preliminary injunction that prevents Jon from making media appearances and endorsements because the network claims they violate his contract -- a ruling that reportedly left Gosselin in "serious financial trouble."
The preliminary injunction was granted pending the outcome of a trial scheduled to begin in April.
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