The agreement will be signed by both parties on June 1st.
Sevilla president Pepe Castro claimed he will insist that the only way he will let Sampaoli out of the previous year of his contract is through the full payment of his buyout clause.
The Spanish club says "this outline of an agreement depends on the writing and delivery of relevant documents, which must be signed by both parties on June 1".
Argentina have been looking for a new manager since dismissing Edgardo Bauza in April and Sampaoli, who has never hidden his desire to coach his homeland, quickly emerged as one of the favourites to fill the vacancy.
"In the conversations between Sevilla FC and the AFA, who have acted as Jorge Sampaoli's representative, at no time has there been a discussion about the fixed release clause that is set in the coach's contract".
Sampaoli's exploits with Sevilla this season, where he guided the team to fourth place in La Liga and the last 16 of the UEFA Champions League, attracted the attentions of a number of clubs, not least Barcelona.
The Andalusian club, however, refused to allow the 57-year-old to leave unless the Argentine FA made a £1.3m payment to trigger his release clause at La Bombonera.
The AFA recently named a squad of players competing overseas for next month's global friendlies but are keen to tie Sampaoli as soon as possible.
Argentina, fifth in their South American qualifying group for the World Cup, resume their qualifying campaign at Uruguay on August 31.
Argentina's squad has already been named for the friendly matches against their arch rivals Brazil and Singapore.
The fifth-ranked side will advance to a playoff against the top nation from Oceania.