The Italian, who has been in charge of the side for the past five years, is out of contract in June and is unlikely to agree on fresh terms.
Ireland's chances of qualifying for the 2014 World Cup were dented on Friday after a 2-1 defeat to Sweden, and Trapattoni accepts that the match could be one of his last in charge.
"I don't expect, after this campaign, to go again in the future. Sure, no," Trapattoni told reporters. "Over five years, I think we have achieved a good result. We have changed the team, we have improved the ranking, we have moved on players and discovered many others.
"In France, the first time, you know we deserved to go through; then we achieved qualification; now maybe the third position could be also a good result for us.
"Obviously, I thought until Saturday we could qualify and if we did achieve that result, then after Brazil, sure, I don't think about continuing."
Ireland travel to Austria on Tuesday.