"I think she hopes to turn it into something positive," Leonard told E! News exclusively.
"She indicated that if she had her choice to work she would like to work in the kitchen facility because she's obviously a good cook."
He explained that Teresa's outlook is "to take it one day at a time" and that she was in upbeat spirits before arriving at the Danbury Federal Correction Institution in the wee hours of Monday morning.
"This is a very strong family and they're going to be fine," Leonard explained, adding that Joe Giudice was understandably emotional on the day his wife began her sentence.
"He told me that obviously it was a difficult day but that everybody was doing OK. He's a strong man, very strong family man, and a good father."
Leonard also spoke about the exact length of time that the Real Housewives of New Jersey star is set to face.
"Typically, you have to do 85 percent of that sentence, so that calculation comes out to a little under 13 months," he revealed.
"Our projections are that if nothing changes with her sentence she should be released sometime in early December."
And Joe, who faces his sentence term after his wife, will report in March of 2016.
"There will certainly be an overlap where they will be together, which will be taxing on him and the girls."
But Brown says that he remains optimistic about the entire Giudice family's spirits during these tough times.
"These are very strong people and they're going to get through this."