Speaking to reporters on Tuesday after meeting Brazil football confederation officials here, Gilmar insisted Dunga's position was not under threat, Xinhua news agency reported.
There were speculations that Dunga might be stripped of his role as Brazil's Olympic coach, allowing him more time to focus on the full national side.
"It was a routine meeting," Gilmar said. "The objective was to present a detailed report of the team and, most importantly, discuss our plans for the Copa America and Olympics."
When asked if he and Dunga were guaranteed to remain in their roles for the Copa America and Olympics, Gilmar replied: "Honestly, that question surprises me. That was confirmed a year and a half ago."
Brazil are currently sixth in the South American zone qualifiers for the 2018 World Cup with just two wins from their first six matches.
The centenary edition of the Copa America will be played in the US from June 3-26. The Olympic football tournament will be played in six Brazilian cities from August 3-20. (IANS)