Simeone, 46, signed a contract extension in 2015 that originally tied him to the club until June 2020, an unusually long deal by Spanish standards.
But in September he reduced the deal to 2018 after talks with Atletico, sparking speculation that he may leave.
Asked about Simeone's future, Gil Marin said yesterday he will stay at Atletico "this season and the next for sure."
"He has been with us for five years and it would be reasonable if he stayed with us many more because we are delighted," he added during an interview with private television La Sexta.
Simeone, a former Atletico midfielder, has led the club to a host of trophies since becoming coach in 2011, including the domestic title in 2014 and two Champions League finals, in 2014 and 2016.
But the club's form has stuttered this season and Atletico find themselves in sixth in La Liga with 28 points.
Atletico are not in league action again until January 7 as La Liga takes a winter break over the new year.
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