Jose Mourinho questions value of Europa League win for Chelsea
Chelsea won Europe's second-tier club competition last season after failing to defend their Champions League title.
But Blues boss Mourinho told BBC Sport: "I don't want to win the Europa League.
"It would be a big disappointment for me. I don't want my players to feel the Europa League is our competition."
Benitez guided Chelsea to Europa League success in May by beating Benfica in the final.
The 53-year-old Spaniard, who took over at Stamford Bridge on a short-term basis in November, also helped the club clinch automatic qualification for the Champions League, a competition the club won in 2012 when Roberto Di Matteo was in charge.
Career record up to 1 June 2013
Mourinho, who has clashed verbally with Benitez on a number of occasions, has never won the Champions League while at Chelsea but did taste success with Porto in 2004 and Inter Milan in 2010.
"That's the only European competition we have to play and that's the European competition we have to give our best," he told BBC Sport's Richard Conway.
As well as conquering Europe, Mourinho is also targeting Premier League success after guiding the Blues to league glory twice during his first spell at Stamford Bridge.
"The most important thing in football is to be the best team in the season and try to win your domestic league," said the 50-year-old Portuguese, who was Blues boss from 2004 to 2007.
"In our case, it's the most important league in Europe, so we have to try and be the best team and win the Premier League."
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