"I think things will be eased," Platini told French radio station RTL on Monday. "It will be the executive committee which decides and you will know at the end of June.
"I think that the rules which have been made are very good. Financial fair play was voted for by the clubs."
UEFA could not be reached for comment on the interview.
When the rules were introduced, Platini said that UEFA would not hesitate to ban clubs who broke them.
However, in practice clubs have been allowed to negotiate settlements with UEFA's financial control panel.
Manchester City and Paris St Germain were given fines of up to 60 million euros ($68.1 million) last season and had their squad sizes capped for the Champions League, although they could get 40 million euros back if they stick to the terms of their negotiated settlements.
Inter Milan, AS Roma and Monaco are among clubs who have been fined and subjected to squad reductions in further settlements this year.
UEFA says Financial Fair Play has helped curb over-spending by clubs since it was introduced.
Critics have said that it prevents smaller clubs from growing and cements a status quo in which the same teams dominant the Champions League and European domestic leagues.
Belgian lawyer Jean-Luis Dupont has challenged the rules before the European Commission and in Brussels courts and has said decisions are expected soon.
"We welcome the formal announcement of a change in the rules in line with the demands expressed by our clients in their various legal actions," Dupont said in a statement.
"When the exact content and scope of these changes are known, we will consider with our clients how this development, which on first sight appears favourable, is likely to meet their legitimate expectations and influence the conduct of ongoing actions."
(Writing by Brian Homewood, editing by Ed Osmond)
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