The World Cup, originally scheduled in India, is set to be held in the UAE in October because of the COVID-19 pandemic.
The three T20s in Sri Lanka hold more importance than the ODIs as it will be the last set of international games India play before the marquee event.
"There are a lot of people in this squad who are pushing for places or looking to cement their places in the World Cup coming up, but I think the key goal of everyone in the squad and in the team...is to try and win the series," the former India captain said.
"The primary objective is to try and win the series and hopefully people get the opportunity to put in some really good performances. These are the only three games before the World Cup.
"I am sure that you know the selectors and management would have a pretty fair idea by now as to what is the kind of squad that they are looking for."
With the Test team in England at the moment, Dravid said this tour can't be looked at as an India A tour where most players get to play.
Dravid has stated in the past that one of the reasons for his success as an India Under-19 and A coach was the strategy to give every travelling player a game to build their confidence.
"There is an opportunity for maybe one or two places that, maybe, the team management or the selectors might be looking for, spots that they might want to fill, and give them a few more options," he said.