The Jobs Bank program -- discontinued in 2009 -- guaranteed workers pay and benefits while laid off.
Chrysler spokeswoman Jodi Tinson declined to comment. UAW spokeswoman Michele Martin said the union would have no comment.
There's precedent in recent UAW accords for provisions that run beyond a contract expiration. For instance, the no-strike clauses negotiated at GM and Chrysler in 2009 remain in place through 2015.
Marchionne said earlier this week Chrysler cannot afford the same contract just negotiated by General Motors because Chrysler paid almost $2 billion in debt service over the past two years on government bailout loans.
GM wasn't hampered by that financial burden because the U.S. government received equity for the $50 billion it lent the automaker.
Chrysler posted a net loss of $652 million last year and expects to generate an annual profit of $200 million to $500 million this year, excluding certain expenses.
GM, in contrast, posted net profits of $5.7 billion during the first half of 2011.
Marchionne is expected to return to the United States from Europe today to renew UAW talks that broke off abruptly Sept. 14, when UAW President Bob King didn't show up to a meeting that Marchionne said was scheduled. King reportedly was tied up in bargaining at GM.
While briefing journalists on the GM settlement Tuesday, King wouldn't say whether the union would turn next to Chrysler or Ford Motor Co. King said he has talked with Marchionne a number of times since their dust-up and he didn't expect the matter to affect negotiations.
The source said the UAW and Chrysler would need to agree to another contract extension if a new tentative agreement can't be reached under the existing one-week extension that expires at 11:59 p.m. ET on Wednesday.
The details of the tentative agreement with GM were shared with UAW local officials on Tuesday. King said he expected the 48,000 UAW members at GM to ratify the contract by Sept. 28.
Chrysler is looking to provide many of the same provisions of the GM agreement, but at a discount, the source said. For example, Chrysler is offering a $3,500 signing bonus for its 23,000 hourly workers vs. the $5,000 one negotiated by GM, the source said.
The general direction of the four-year GM contract, however, is appealing to Chrysler.
Economic gains are concentrated in the signing bonus, three lump-sum $1,000 payments for inflation protection and a slightly enhanced profit-sharing plan. At the end of the contract, GM hourly workers will not have had a wage increase in 12 years.
Bradford Wernle contributed to this story.