But Dewsnip says the club must be realistic about where it stands in the Championship pecking order.
With a capacity of just under 17,500, the Pilgrims have the third smallest stadium in the division and do not benefit from the Premier League parachute payments that other teams receive.
“We compete in the Championship, which I think is the fifth biggest league in the world,” Dewsnip added.
“Over the last few years we have gone from League Two to where we are, we have earned the right to be in the Championship, we want to stay in the Championship.
“We achieved it last year and this year our goal remains the same: we would like to do a little better.”
Argyle survived by one point last season – their first campaign in the second division since 2010 – thanks to a final-day win over Hull City.
“Wayne talks about how he would love to be safe with at least four games left, so that’s the goal that will remain until we’ve done that,” Dewsnip said.
“But we must not forget that we are in a league that has some really big football clubs, Premier League clubs, if we are really honest.
“We’re competing in the bottom half of that league; you could even say the bottom half of that league.
“So we have sensible expectations, we know it’s a huge challenge, but one that we enjoy, that we understand and that we achieved last year and that we are going to be successful again this year.”
